MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions
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1 MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:2YBSPT 1 What is the volume of a cube with a length of 8 inches? A 96 in 3 B 256 in 3 C 512 in 3 D 384 in 3 2 Which is closest to the volume of this cone? A ft 3 B ft 3 C 94.2 ft 3 D ft 3 3 Which is closest to the volume of this cylinder? A 31.4 in 3 B 78.5 in 3 C 15.7 in 3 D 19.7 in 3
2 4 Lynn has ordered a tomato planter kit and is reading the directions. Which step may require Lynn to use the volume formula? A Step 1 B Step 4 C Step 5 D Step 6 5 Which is closest to the volume of this square based pyramid? A 40 cm 3 B 33.3 cm 3 C 26.7 cm 3 D 80 cm 3
3 6 What is the volume of the triangular pyramid shown? A 280 in 3 B 1680 in 3 C 70 in 3 D 840 in 3 7 What is the volume of the rectangular prism? A 198 m 3 B 72 m 3 C 162 m 3 D 99 m 3 8 Which is closest to the volume of this square based pyramid? A 28 cm 3 B 84 cm 3 C 96 cm 3 D 36 cm 3
4 9 What is the volume of the cylinder below? A cm 3 B cm 3 C 8, cm 3 D 2, cm 3 10 What is the volume of the cylinder? A 2,260.8 in 3 B 3,549.5 in 3 C 1,130.4 in 3 D in 3 11 What is the volume of a square-based pyramid with base side lengths of 16 meters, a slant height of 17 meters, and a height of 15 meters? A 1,280 m 3 B 1,360 m 3 C 1,450 m 3 D 2,040 m 3
5 12 What is the volume of the rectangular prism? A 36 cm 3 B 180 cm 3 C 60 cm 3 D 40 cm 3 13 Which is closest to the volume of this cylinder? A 49 in 3 B 791 in 3 C 197 in 3 D 131 in 3 14 What is the volume of a square-based pyramid with a base side of 4 cm and a height of 10 cm? A 53.3 cm 3 B 160 cm 3 C 26.7 cm 3 D 13.3 cm 3
6 15 Maria wants to fill an ice cream cone with ice cream. Which is closest to the volume of ice cream she can put into a sugar cone that has a radius of 3 inches and a height of 6 inches? A in 3 B in 3 C in 3 D in 3 16 Which statement about the volumes of the two pyramids shown above is true? A Pyramid II has 30 more cubic feet of volume than Pyramid I. B The volume of Pyramid II is 10 times the volume of Pyramid I. C Pyramid II has 10 more cubic feet of volume than Pyramid I. D The volumes of Pyramid II and Pyramid I are the same. 17 If all measurements of the right prisms and cylinders are in inches, which container has the greatest volume? A C B D
7 18 Look at prism A. Which prism has a volume that is three times smaller than prism A? A C B D 19 If the width of the rectangular prism is doubled, which of the following is true? A The volume is half as large. B The volume is eight times as large. C The volume increases by 28. D The volume is twice as large. 20 A cone-shaped object is 3 miles high and has a base diameter of 20 miles. What is the approximate volume? A 942 mi 3 B 329 mi 3 C 314 mi 3 D 94 mi 3
8 21 Rectangular prism A has a length of 200 centimeters, a width of 120 centimeters, and a height of 80 centimeters. Rectangular prism B is 10 times smaller in volume. If only one dimension is different from rectangular prism A, which of the following could NOT be the surface area of prism B? A 38,720 sq cm B 20,480 sq cm C 53,120 sq cm D 27,200 sq cm 22 Josh has two rectangular prisms. The length of the second prism is 10 times the length of the first prism. The heights and widths of the two prisms are the same. Which best describes the volume of the second prism? A The volume is 10 times the volume of the first prism. B The volume is 30 times the volume of the first prism. C The volume is 100 times the volume of the first prism. D The volume is 1,000 times the volume of the first prism. Read the following passage and answer questions 23 through Directions: Click on a box to choose each statement you want to select. You must select all correct statements. Look at Prism A. Prism B is created with the same dimensions as Prism A except for one dimension is multiplied by 5. Identify each true statement. The volume of Prism A is 5 times the volume of Prism B. The surface area of Prism B is 5 times the surface area of Prism A. The volume of Prism B is 5 times the volume of Prism A. The surface area of Prism B is larger than the surface area of Prism A. The volume of Prism B is larger than the surface area of Prism A.
9 24 The volume of A Prism A is equal to the volume of Prism B B Prism A is half the volume of Prism B C Prism B is 20 times the volume of Prism A D Prism B is 10 times the volume of Prism A Read the following solid, shape or figure and answer questions 25 through 25.
10 25 Directions: Click on a box to choose each statement you want to select. You must select all correct statements. Prism A has the measurements shown. Identify each true statement that correctly describes a situation that would double the volume of Prism A. The width of Prism A is multiplied by 2. The length and height of Prism A are multiplied by 2. The height of Prism A is multiplied by 2. The length of Prism A is multiplied by 2. All dimensions of Prism A are multiplied by 2.
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Student Outcomes Students use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere. Students know that a pyramid is a special type of cone with triangular faces and a rectangular
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Common Core Learning Standards Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. 5.MD.3a. A cube with side length 1 unit, called a unit cube, is
8-3. A butterfly house at a local zoo is a rectangular prism with dimensions 20' 15' 10' and contains 625 butterflies.
8-1. Compute the volume of the figures below. 8-2. Carefully draw the prisms below onto your paper. One way to do this is to draw the two bases first and then to connect the corresponding vertices of the
11.7 Exploring Similar Solids
11.7 Exploring Similar Solids Learning Objectives Find the relationship between similar solids and their surface areas and volumes. Review Queue 1. We know that every circle is similar, is every sphere
The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net.
The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. A net is the pattern made when the surface of a solid
Finding the Volume of Solids
S E S S I O N 1. 5 A Finding the Volume of Solids Math Focus Points Using formulas to find the volume of rectangular prisms Finding the volume of a solid composed of two rectangular prisms Today s Plan