Measuring length (age 10+)

Question 1

Which statement best describes the volume of a three‑dimensional shape?

Accepted Answer

It is the amount of space inside the shape, measured in cubic units.

Answer

It is the size of the shape’s surface, measured in square units.

Answer

It is the length of one edge of the shape, measured in units.

Answer

It is how heavy the shape feels, measured in pounds.

Question 2

A rectangular solid is built by stacking unit cubes. It is 5 cubes long, 3 cubes wide, and 2 cubes high. How many cubic units is its volume?

Accepted Answer

30

Answer

10

Answer

25

Answer

15

Question 3

Which description correctly identifies a unit cube and explains why it measures exactly one cubic unit of volume?

Accepted Answer

A solid that is a cube with each edge 1 cm long; its volume is 1 cm × 1 cm × 1 cm = 1 cm³, so it represents one cubic unit.

Answer

A solid that is a cube with each edge 2 cm long; its volume is 2 cm × 2 cm × 2 cm = 8 cm³, so it represents one cubic unit.

Answer

A solid that is a rectangular prism 1 cm × 1 cm × 2 cm; its volume is 2 cm³, so it represents one cubic unit.

Answer

A solid that is a sphere with radius 1 cm; its volume is (4/3)π cm³, so it represents one cubic unit.

Try three questions