Question

The container for a child's set of blocks is 9 inches by 9 inches by 9 inches. The blocks measure 3 inches by 3 inches by 3 inches.

Part A Describe how to determine the number of blocks needed to fill the container.
Part B Write and simplify an expression to solve the problem.
Part C How many blocks will it take?

Answer 1

C. Number of blocks needed is 27.

Explanation:

The dimension of the container = 9 inches by 9 inches by 9 inches

The blocks has a dimension = 3 inches by 3 inches by 3 inches

A. To determine the number of blocks needed to fill the container, divide the volume of the container by the volume of each block.

B. volume of container = length x width x height

volume of each block = length x width x height

Number of blocks needed =
`(volume of container)/(volume of each block)`

C. volume of container = length x width x height

= 9 x 9 x 9

= 729

volume of container = 729 cubic inches

volume of each block = length x width x height

= 3 x 3 x 3

= 27 cubic inches

Thus,

Number of blocks needed =
`(volume of container)/(volume of each block)`

=
`(729)/(27)`

= 27

The number of blocks needed is 27.