Math 2B/3A
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Volume and Surface Area Mixed Practice
1. A right circular cone has a volume of 39 cubic inches and a radius of 2.5 inches. Find
the height of the cone. Round to the nearest hundredth (two decimal places.)
2. The radius of a large sphere is 5 times the radius of a small sphere. The surface area of
the large sphere is how many times the surface area of the small sphere?
3. Tiffany wants to calculate the volume of her globe. The globe is in the shape of a
sphere, as represented by the picture below. She measured the circumference of the
globe along the equator to be 24 inches. Find the volume of Tiffany’s globe. Round to
the nearest hundredth.
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Math 2B/3A
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
4. A right circular cylindrical can is 6 inches high, and the area of its top is 16𝜋 square
inches. What is the minimum number of square inches of construction paper it would
take to cover the lateral surface of this can?
5. The right cylinder and right cone shown below have the same radius and volume.
The cylinder has a height of 12 inches. What is h, the height of the cone?
6. The volume of a right square pyramid is 384 cm3 and the side length is 12 cm. Find the
surface area of the pyramid. Show your work. Round to the nearest hundredth.
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Math 2B/3A
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
7. A right square pyramid has a Lateral Surface Area of 256 in2. The slant height is 16 in.
Find the volume of the pyramid.
8. Cone A has a radius that is 3 times the radius of cone B. They both have a height of 12
inches. How do the volumes of the cones compare?
9. A silver sphere has a radius that it 5 times the radius of a gold sphere. The silver sphere
has a volume that is how many times the volume of the gold sphere?
3
Math 2B/3A
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
10. A company manufactures solid glass spheres. Each sphere has a radius of 2 inches and
is packed in a gift box shaped like a cube. The box is small enough so that each side of
the box touches the sphere.
a. What is the length, in inches, of each edge of the box? Show or explain how you got
your answer.
b. What is the volume, in cubic inches, of the box? Show your work.
Material is added to the spaces around the glass spheres in the boxes to prevent breakage.
c. What is the volume, in cubic inches, of the space inside the box but outside the
sphere? Show your work.
The company wants to pack multiple cube-shaped boxes into large boxes for shipping. Each
large box is in the shape of a right rectangular prism and has a length of 24 inches, a width of
20 inches, and a height of 16 inches.
d. What is the maximum number of cube-shaped boxes that can fit inside a large box?
Show your work.
4
Math 2B/3A
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
Surface Area and Volume Mixed Practice
1. 5.95 in
2. 25 times
3. 233.50 cm3
4. 48𝜋 = 150.80 in2
5. 36 in
6. 369.12 cm2
7. 330.45 in3
8. 3! = 9 times
9. 5! = 125 times
10. a. 4 in
b. 64 in3
c. 30.49 in3
d. 120 boxes
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