Similar Solids
If two similar cones have volumes of 320 cm^3 and 1,080 cm^3, find the scale factor. A. 1/3 B. 2/3 C. 3/4 D. 7/8
B. 2/3
The surface areas of two similar hexagonal prisms are 882 cm^2 and 1,058 cm^2. What is the scale factor of the smaller prism to the larger prism? A. 882/1,058 B. 21/23 C. 23/21 D. 21/11
B. 21/23
Find the ratio of the surface areas of the solids. A. 8/27 B. 4/9 C. 2/3 D. 4/6
B. 4/9
If two similar triangular prisms have volumes of 512 ft^3 and 1,331 ft^3, find the scale factor. A. 64/121 B. 8/11 C. 4/5 D. 11/12
B. 8/11
The two cones above are similar. Find the scale factor and the ratio of the surface areas. A. scale factor: 2/3 surface area ratio: 4/9 B. scale factor: 2/5 surface area ratio: 4/25 C. scale factor: 3/5 surface area ratio: 9/25 D. scale factor: 1/4 surface area ratio: 1/16
B. scale factor: 2/5 surface area ratio: 4/25
The two cones are similar. The ratio of their surface areas is 13.69/4. Find the volume of each cone. Round your answer to the nearest hundredth. A. small cone: 433.32 in^3 large cone: 2,737.82 in^3 B. small cone: 433.54 in^3 large cone: 2,745.01 in^3 C. small cone: 432.32 in^3 large cone: 2,738.82 in^3 D. small cone: 432.54 in^3 large cone: 2,741.01 in^3
B. small cone: 433.54 in^3 large cone: 2,745.01 in^3
The two cones are similar. Find the surface area of the larger cone. Round your answer to the nearest hundredth. A. 810.28 cm^2 B. 847.80 cm^2 C. 868.30 cm^2 D. 886.25 cm^2
C. 868.30 cm^2
The two cylinders are similar. If the ratio of their surface areas is 9/1.44, find the volume of each cylinder. Round your answer to the nearest hundredth. A. small cylinder: 152.00 m^3 large cylinder: 950.02 m^3 B. small cylinder: 972.14 m^3 large cylinder: 12,924.24 m^3 C. small cylinder: 851.22 m^3 large cylinder: 13,300.25 m^3 D. small cylinder: 682.95 m^3 large cylinder: 13,539.68 m^3
C. small cylinder: 851.22 m^3 large cylinder: 13,300.25 m^3
The two square pyramids are similar. Find the surface area of the larger pyramid. Round to the nearest tenth. A. 175.0 yd^2 B. 176.0 yd^2 C. 176.1 yd^2 D. 176.8 yd^2
D. 176.8 yd^2
Brooks built two similar wooden chests in the shape of rectangular prisms. She used 16 pints of paint to cover the outside of the larger chest fully and 9 pints to cover the outside of the smaller chest. What is the ratio of the volume of the larger chest compared to the smaller chest? A. 16/9 B. 4/3 C. 32/9 D. 64/27
D. 64/27
