Similar solids, and what changing a dimension does to perimeter, area, surface area and volume
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Rows length, face area, volume; scale factor × 3 written on the length row. Milo's cereal box is 2 inches deep, 7 inches wide and 10 inches tall. A similar cereal box has every length 3 times as long. How tall is the big cereal box, in inches?
Rows length, face area, volume; scale factor × 2 written on the length row. Noah's tent is 8 feet wide, 5 feet tall and 12 feet long. A similar tent has every length 2 times as long. How wide is the big tent, in feet?
Rows length, face area, volume; scale factor × 4 written on the length row. Pia's toy castle is 6 cm wide, 6 cm deep and 9 cm tall. A similar toy castle has every length 4 times as long. How tall is the big toy castle, in cm?
Zee's gift box (2 by 3 by 4 inches) takes 52 square inches of paper to wrap. A similar box has edges 2 times as long. How much paper does it need, in square inches?
Ari's toy lunchbox (1 by 2 by 6 inches) takes 40 square inches of paper to wrap. A similar box has edges 4 times as long. How much paper does it need, in square inches?
Bo's wooden block (3 by 4 by 5 cm) takes 94 square cm of paper to wrap. A similar box has edges 2 times as long. How much paper does it need, in square cm?
Esme's ice block has a volume of 6 cubic cm. A similar one has every edge 3 times as long. What is the big one's volume, in cubic cm?
Jun's toy block has a volume of 24 cubic inches. A similar one has every edge 2 times as long. What is the big one's volume, in cubic inches?
Kira's jewelry box has a volume of 10 cubic cm. A similar one has every edge 4 times as long. What is the big one's volume, in cubic cm?
Luz's gift box has a volume of 30 cubic inches. A similar one has every edge 2 times as long. What is the big one's volume, in cubic inches?