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Tema [17]
3 years ago
8

A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What

is the volume of the sand in the box?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

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