Question

My mom built a new sandbox that is 3 \text { m}3 m3, start text, space, m, end text long, 2 \text { m}2 m2, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high for my sister and me. Sand for the sandbox costs \$4.50$4.50dollar sign, 4, point, 50 per cubic meter. How much will it cost to completely fill the sandbox with sand?

Answer 1

Given:

Length of sandbox (l)= 3 m

Breadth (b) = 2 m

Height (h) = 1 m

Cost of sand for the sand box = $4.50 per cubic meter.

To find:

The cost to completely fill the sandbox with sand.

Solution:

Volume of cuboid is

$Volume =l\times b\times h$

So, volume of sand box is

$Volume =3\times 2\times 1$

$Volume =6 \text{ m}^3$

So, we need 6 cubic meter sand to fill the sandbox completely.

Cost of one cubic meter of sand for the sand box = $4.50

Cost of 6 cubic meter of sand for the sand box = 6 × $4.50

                                                                              = $27

Therefore, the cost to completely fill the sandbox with sand is $27.