Chapter 12.2, Problem 37STP

To determine

The correct option from the following options for the volume of shoe box.

Answer to Problem 37STP

The correct option is C. $1000i{n}^3$ from the options.

Explanation of Solution

Given:

The four options for the volume of shoe box are,

A: $10i{n}^3$ C: $1000i{n}^3$

B: $100i{n}^3$ D: $10,000i{n}^3$

For a shoe box sides are given as,

Length: $15.75inches$

Width: $9.25inches$

Height: $8inches$

Concept Used:

The volume of rectangle is given by the formula,

Volume= $l*h*w$

Where,

  $l$ : Length

  $h$ : Height

  $w$ : Width

Calculation:

Given thatthe values of the length, height and width.

To calculate the best estimate of volume multiply thelength, height and width.

Volume= $l*h*w$

Substitute all the given values in the above formula,

Volume $=$ $15.75*9.25*8$

  $=$ $1,165.5$ $i{n}^3$

The best estimate of volume from the four options is $1000i{n}^3$ .

Conclusion:

Hence, the best estimate of volume from the four options is $1000i{n}^3$ .