Mrs. Fuller is trying to organize all of her children’s toys into a large toy box. Each toy has the dimensions of 4 inches x 3 inches

Question

Mrs. Fuller is trying to organize all of her children’s toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

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King 5 years 2021-08-18T06:03:30+00:00 1 Answers 17 views 0

Answers ( )

  1. huyenthanh
    0
    2021-08-18T06:04:47+00:00
    Reply

    Answer: 1,152 toys can be stored in the box.

    Step-by-step explanation:

    For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

    V = L*W*H

    We know that the measures of each toy are: 4in x 3in x 3in

    Then the volume of each toy is:

    V = 4in*3in*3in = 36in^3

    The toy box is 4ft x 2ft x 3 ft

    First we should write the measures in the same units as before, we know that:

    1ft = 12 in.

    Then:

    4ft = 4*12 in = 48 in

    2ft = 2*12in = 24in

    3ft = 3*12in = 36in

    Then the measures of the box are:

    48in x 24in x 36in

    Then the volume of the box is:

    V = 48in*24in*36in = 41,472 in^3

    Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

    this is equal to the quotient between 41,472 in^3 and 36in^3

    N = 41,472 in^3/36in^3 = 1,152

    1,152 toys can be stored in the box.

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