Name _____________________________________________
Date ____________________________
Geometry Period ____________________________________
11.4 – 11.7 Review Worksheet
1.
Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the
height is 21 in. The second pyramid has a height of 84 in. What is the side length of the base of the second
pyramid?
2.
The volume of a sphere is 3000 m . What is the surface area of the sphere to the nearest square meter?
3.
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has length 15 cm, width 5 cm, and
height 7 cm, and the pyramid has height 13 cm. Find the volume of the composite space figure.
4.
An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill
the bottom half of the hourglass
full of salt, how much salt will you need?
5.
A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm of air. How much air does the
balloon hold when the design is 10 cm wide?
6.
A log cabin is shaped like a rectangular prism. A model of the cabin has a scale of 1 centimeter to 0.5 meters.
a.
If the model is 14 cm by 20 cm by 7 cm, what are the dimensions of the actual log
cabin? Explain how you find the dimensions.
b.
What is the volume of the actual log cabin?
c.
What is the ratio of the volume of the model of the cabin to the volume of the actual
cabin?
7.
Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and
sides of the cylinder. The diameter of each ball is 13 cm.
a.
b.
c.
What is the volume of the cylinder?
What is the total volume of the three balls?
What percent of the volume of the container is occupied by the three balls?
8.
Katie approximated the volume and the surface area for a ball she was using for some exercises by assuming the
ball is a sphere. She was surprised when the numerical value of the volume in cubic inches was the same as the
numerical value of the surface area in square inches. What is the radius of the ball?
9.
Tyler built a doll house for his sister as shown in the diagram below. Find the volume of the doll house.
10.
The volume of a cylinder is 980 in. . The height of the cylinder is 20 in. What is the radius of the cylinder?
11.
Cylinder A has radius 1 m and height 4 m. Cylinder B has radius 2 m and height 4 m. Find the ratio of the volume
of cylinder A to the volume of cylinder B.
12.
Find the volume of the composite space figure to the nearest whole number.
13.
A cone-shaped pile of sand weighs 250 lb. How much does a similarly shaped pile of sand weigh if each
dimension is six times as large?
14.
A balloon has a circumference of 23 cm. Use the circumference to approximate the surface area of the balloon
to the nearest square centimeter.
15.
Find the value of the variable in each figure.
a.
b.