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the volume of a rectangle gift box is 98 cubic inches. the height is 4 inches and the width is 3 1/2 inches.what is the length of the gift box

asked
User Hawili
by
7.8k points

1 Answer

3 votes
Use the formula for volume of a box. Fill in the given values and solve for the remainder.

V = L*W*H . . . . . . . . . . . . . . . . . formula for volume of cuboid shape
98 in^3 = L*(3.5 in)*(4 in) . . . . . with given numbers filled in
98 in^3 = L*(14 in^2) . . . . . . . . . multiply
(98 in^3)/(14 in^2) = L . . . . . . . . divide by the coefficient of L
7 in = L . . . . . . . . . . . . . . . . . . . . simplify

The length of the box is 7 inches.

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You will note that the units, inches, square inches, cubic inches, can be treated as though they were a variable. Just as z^3/z^2 = z, so does in^3/in^2 = in. This can help you make sure you're doing the math properly. If the units come out wrong, there's high probability the numbers are wrong, too.
answered
User Marc Lincoln
by
7.6k points

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