The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm. Determine the volume of the box retaining the proper number of significant figures in your answer

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Answer:

The Volume of the Shoebox is therefore  5884.7[tex]cm^3[/tex]

Step-by-step explanation:

The edges of a shoebox are measured to be 11.4 cm, 17.8 cm, and 29 cm.

We want to determine the volume of the box.

The Shoebox is in the shape of a Cuboid and;

Volume of a Cuboid=Length X breadth X height

Volume of the Shoebox= 11.4.X 17.8 X 29 =5884.68[tex]cm^3[/tex]

=5884.7[tex]cm^3[/tex] (correct to 1 decimal place)

The volume of the box is 5884.68 cubic cm.

Important information:

  • Dimensions of the box are 11.4 cm, 17.8 cm, and 29 cm.

We need to find the volume of the box.

Volume of cuboid:

The volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where [tex]l[/tex] is length, [tex]b[/tex] is breadth and [tex]h[/tex] is height.

The volume of the box is:

[tex]V=11.4\times 17.8\times 29[/tex]

[tex]V=5884.68[/tex]

Therefore, the volume of the box is 5884.68 cubic cm.

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