#1 A: Surface Area of Triangular Prisms Calculate the surface area of the following triangular prisms. You must show ALL of your work.
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1 #1 A: Surface Area of Triangular Prisms Calculate the surface area of the following triangular prisms. You must show ALL of your work. (a) (b) (c) (d) (e)
2 #1 B: VOLUME of Triangular Prisms Calculate the volume of the following triangular prisms. You must show ALL of your work. (a) (b) (c) (d) (e)
3 #2 A: Surface Area of Rectangular Prisms Calculate the surface area of the following rectangular prisms. You must show ALL of your work. (a) (b) (c) (d) (e)
4 #2 B: VOLUME of Rectangular Prisms Calculate the volume of the following rectangular prisms. You must show ALL of your work. (a) (b) (c) (d) (e)
5 #3 A: Surface Area of Cylinders Calculate the surface area of the following cylinders. You must show ALL of your work. (a) Find the surface area of a cylindrical tank that has a radius of 1.5 m and a height of 5 m. Draw the tank with the given measures. (b) Find the surface area of a pipe that has a diameter of 4.5 cm and is 18.8 cm long. Draw the tank with the given measures. (c) Find the surface area of the figure below. (d) Find the surface area of the given cylinder
6 #3 B: VOLUME of Cylinders Calculate the volume of the following cylinders. You must show ALL of your work. (a) Find the volume of a cylindrical tank that has a radius of 1.5 m and a height of 5 m. Draw the tank with the given measures. (b) Find the volume of a pipe that has a diameter of 4.5 cm and is 18.8 cm long. Draw the tank with the given measures. (c) Find the volume of the figure below. (d) Find the volume of the given cylinder
7 #4 A: Surface Area of Cones Calculate the surface area of the following cones. You must show ALL of your work. (a) Use these dimensions & the given image: a= 77 cm, b =28 cm, and c= 82 cm. (b) Use these dimensions & the given image: a= 7 mm, b =6.8 mm, and c= 9.8 mm. (c) Use these dimensions & the given image: a= 20 in, b =16 in, and c= 25.6 in. (d) Use these dimensions & the given image: a= 39.7 mi, b =45.7 mi, and c= 63.6 mi. (e) Use these dimensions & the given image: a= 32 cm, b =14 cm, and c= 35 cm.
8 #4 B: VOLUME of Cones Calculate the volume of the following cones. You must show ALL of your work. (a) Use these dimensions & the given image: a= 77 cm, b =28 cm, and c= 82 cm. (b) Use these dimensions & the given image: a= 7 mm, b =6.8 mm, and c= 9.8 mm. (c) Use these dimensions & the given image: a= 20 in, b =16 in, and c= 25.6 in. (d) Use these dimensions & the given image: a= 39.7 mi, b =45.7 mi, and c= 63.6 mi. (e) Use these dimensions & the given image: a= 32 cm, b =14 cm, and c= 35 cm.
9 #5 A: Surface Area of Pyramids Calculate the surface area of the following pyramids. You must show ALL of your work.
10 #5 B: VOLUME of Pyramids Calculate the volume of the following pyramids. You must show ALL of your work.
11 #6 A: Surface Area of Spheres Calculate the surface area of the following cones. You must show ALL of your work. (a) The radius of the following sphere is 28 cm. What is its surface area? (b) Find the surface area of a sphere with a radius of 1.3 m. (c) Find the surface area of a sphere with a diameter of 24.8 mm. (d) Find the surface area of a sphere with a radius of 18.5 cm. (e) A tennis ball has a diameter of 6.7 cm. What is its surface area?
12 #6 B: VOLUME of spheres Calculate the volume of the following cones. You must show ALL of your work. (a) The radius of the following sphere is 28 cm. What is its volume? (b) Find the volume of a sphere with a radius of 1.3 m. (c) Find the volume of a sphere with a diameter of 24.8 mm. (d) Find the volume of a sphere with a radius of 18.5 cm. (e) A tennis ball has a diameter of 6.7 cm. What is its volume?
13 #1 #7 & 8 Real World Applications Answer the following questions. You must show ALL of your work. (a) Consider the given grain storage building. How much space is available inside the building to store grain? (b) The farmer decides it s best not to fill the entire building with grain. He only wants to fill 4/5 of the building with grain. How much space does that give him to fill? #2 (a) Justin Bieber gets a new pencil piggy bank, complete with a sharpened tip and eraser. He is so excited to start putting his money in it, but first he wants to figure out how much room there is inside of the pencil for money. How much open space is available inside the pencil piggy bank? (b) After figuring out the available space inside, JB realizes the tip of the pencil and the eraser is not hollow. The only space available to fill is in the middle cylindrical shape. He starts filling the bank with money. He has filled it 2/3 of the way full. How much space has he filled?
14 #9 Backwards Volume Calculate the surface area of the following cones. You must show ALL of your work. (a) A cone has a radius of 12 mm and a volume of mm 3. What is its height? (b) A cylinder has a radius of 9.3 cm and a volume of 3000 cm 3. What is the height? (c) A square pyramid s base has a side length of 9 in. The square pyramid has a volume of 270 in 3. What is the height of the pyramid? (d) The volume of a triangular prism is 80 mm 3 and the triangular base of has a height of 8 in and a base of 5 in. Find the height of the prism. (e) The circumference of the great circle is 13.8π ft. What is the volume of the sphere?
15 #10 Backwards Volume Calculate the surface area of the following cones. You must show ALL of your work. (a) A cone has a radius of 2 ft and a volume of ft 3. What is its height? (b) A cylinder has a radius of 5in and a volume of approximately 314 in 3. What is the height? (c) A rectangular prism has a volume of 560 mi 3 and its rectangular base has a length of 7in and a width of 8in. What is the height of the prism? (d) Find the radius of a cylinder with a volume of 950ft 3 and a height of 10ft. (e) A sphere has a volume of cm 3. What is the radius?
16 #11 3D Pythagorean Theorem Calculate the surface area of the following cones. You must show ALL of your work. (a) A pyramid has a square base that is 30in on each side. The height of the pyramid is 8in. What is the slant height of the pyramid? (b) A pyramid has a square base. The height is 12ft and the slant height is 20ft. What is s, the side length of the base of the pyramid? (c) A cone has a height of 20cm and a slant height of 29cm. What is r, the radius? (d) A cone has a radius of 11mm and a slant height of 61mm. What is h, the height?
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