Similar solids, and what changing a dimension does to perimeter, area, surface area and volume

Answer Key - Grade 10 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Milo has two similar cans. The small one holds 5 cubic inches and the big one 320 cubic inches. What is the scale factor from small to big?

   4
2. 2.

   Noah has two similar sand pyramids. The small one holds 3 cubic feet and the big one 192 cubic feet. What is the scale factor from small to big?

   4
3. 3.

   Pia has two similar boxes. The small one holds 2 cubic inches and the big one 1458 cubic inches. What is the scale factor from small to big?

   9
4. 4.

   Ren has two similar gift boxes. The small one holds 4 cubic inches and the big one 108 cubic inches. What is the scale factor from small to big?

   3
5. 5.

   Tala has two similar boxes: surface areas 24 and 96 square inches. The small one holds 8 cubic inches. How much does the big one hold, in cubic inches?

   64
6. 6.

   Zee has two similar candles: surface areas 10 and 90 square inches. The small one holds 2 cubic inches. How much does the big one hold, in cubic inches?

   54
7. 7.

   Ari has two similar pyramids: surface areas 6 and 150 square feet. The small one holds 3 cubic feet. How much does the big one hold, in cubic feet?

   375
8. 8.

   Esme's old can has radius 2 cm and height 10 cm. The new one has radius 6 cm and height 10 cm. How many times as much does the new can hold?

   9
9. 9.

   Jun's old candle has radius 5 cm and height 3 cm. The new one has radius 10 cm and height 9 cm. How many times as much does the new candle hold?

   12
10. 10.

    Luz's old cake pan has radius 3 cm and height 12 cm. The new one has radius 12 cm and height 6 cm. How many times as much does the new cake pan hold?

    8