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

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   The club can order one 12-inch pizza or three 6-inch pizzas. Milo compares the cheese. How many 6-inch pizzas have the same area as one 12-inch pizza?

   4
2. 2.

   The club can order one 20-inch party pizza or a box of 4-inch mini pizzas. Pia compares the cheese. How many 4-inch pizzas have the same area as one 20-inch pizza?

   25
3. 3.

   The club can order one 18-inch pizza or a tray of 6-inch pizzas. Ren compares the cheese. How many 6-inch pizzas have the same area as one 18-inch pizza?

   9
4. 4.

   Tala's camp tent holds 1,080 cubic feet. A similar mini camp tent has every length one third as long. How much does the mini one hold, in cubic feet?

   40
5. 5.

   Zee's toy box holds 640 cubic inches. A similar mini toy box has every length one fourth as long. How much does the mini one hold, in cubic inches?

   10
6. 6.

   Ari's glass pyramid holds 500 cubic cm. A similar mini glass pyramid has every length one fifth as long. How much does the mini one hold, in cubic cm?

   4
7. 7.

   Bo's sand castle tower holds 448 cubic inches. A similar mini sand castle tower has every length half as long. How much does the mini one hold, in cubic inches?

   56
8. 8.

   Esme has two similar cans that hold 8 and 64 cubic cm. The first one's surface area is 30 square cm. What is the second one's surface area, in square cm?

   120
9. 9.

   Kira has two similar boxes that hold 16 and 128 cubic inches. The first one's surface area is 24 square inches. What is the second one's surface area, in square inches?

   96
10. 10.

    Luz has two similar glass pyramids that hold 54 and 16 cubic cm. The first one's surface area is 45 square cm. What is the second one's surface area, in square cm?

    20