Unit 11 · Test

Unit 11 test: Area and Volume

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers areas of polygons and composite figures, volumes of prisms, cylinders, pyramids, cones and spheres, surface area, density and modeling, and cross sections and solids of revolution.

Question 1

A trapezoid has bases of 9 cm and 15 cm and a height of 8 cm. Find its area in square centimeters.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

What is the area of a regular hexagon with side length 8?

Question 3

A rectangular sheet of metal is 16 in by 10 in. A semicircle with a diameter of 10 in is cut out of one of the 10 in sides. Find the area of the metal that remains, to the nearest tenth of a square inch.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

A prism has triangular bases. Each triangle has a base of 10 ft and a height of 6 ft, and the two triangles are 15 ft apart. Find the volume of the prism in cubic feet.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

A cylinder has a diameter of 14 m and a height of 10 m. Find its volume in cubic meters, in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

A square pyramid has base edges of 18 cm and a slant height of 15 cm. Find its volume in cubic centimeters.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

A cone has a volume of $100\pi$ cubic inches and a radius of 5 in. What is its height, in inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

Find the volume of a sphere with radius 15 ft, in cubic feet. Give your answer in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

A bowl is shaped like a hemisphere with a diameter of 6 in. How much can it hold?

Question 10

A cylinder has a radius of 4 cm and a height of 6 cm. Find its total surface area, in square centimeters, in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

A cone has a radius of 9 m and a height of 12 m. Find its total surface area, in square meters, in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

A city covers 125 square miles and has a population of 250,000. What is its population density, in people per square mile?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

A solid copper cylinder has a radius of 5 cm and a height of 10 cm. Copper has a density of $8.9 \text{ g/cm}^3$ . Find the mass of the cylinder, to the nearest gram.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

A right triangle with legs of 6 cm and 8 cm is rotated around the 8 cm leg. Find the volume of the solid formed, in cubic centimeters, in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

Which shape can not be a cross section of a cube?