Question

a backyard sandbox shaped like a right rectangular prisms is 0.45 meters high 2 m 2.6 m long if the sand is the box is 0.25 m deep what volume of sand is the box?

Answer 1

In order to determine the volume of the sand inside the box, take into account that the shape of the volume of the sand inside the box is the same that the rectangular prism. Then, you can use the folowing formula for the volume of the sand:

V = w·h·l

where w is the width, h the height and l the length. In this case, the height of the sand is 0.25m and the width and the length are the same of the box.

w = 2 m

l = 2.6 m

h = 0.25 m

replace the previous values of the parameters into the formula for V:

V = (2 m)(2.6 m)(0.25 m)

V = 1.3 m³

Hence, the volume of the sand inside the box is 1.3 m³