Question

The dimensions of a box are 1.2 feet by 0.50 feet by 0.75 feet. calculate the volume of the box in cubic centimeters. (2.54 cm = 1.00 inch, 12.0 inches = 1.00 foot).
a. 47 cm^3.
b. 306 cm^3.
c. 14 cm^3.
d. 418 cm^3.
e. 1.3 x 10^4 cm^3.

Answer 1

The volume of the box in cubic centimeters with dimensions 1.2 feet by 0.50 feet by 0.75 feet is 12742.6 cubic cm.

It is given that:-

1 inch = 2.54 cm

12 inches = 1 foot

We know that, the volume of a cuboid box is the product of its length, breadth and height.

Here,

Length of cuboid = 1.2 feet

Breadth of cuboid =0.50 feet

Height of cuboid = 0.75 feet

We will transform the dimensions in cm.

As,

1 foot = 12 inches

1.2 feet = 1.2*12 inches = 14.4 inches

As,

1 inch = 2.54 cm

14.4 inches = 2.54 * 14.4 cm = 36.576 cm

Similarly,

0.50 feet = 6 inches

6 inches = 2.54*6 cm = 15.24 cm

0.75 feet = 9 inches

9 inches = 9*2.54 cm = 22.86 cm

Now,

Length of cuboid = 36.576 cm

Breadth of cuboid = 15.24 cm

Height of cuboid = 22.86 cm

Hence,

Volume of cuboid = Length * Breadth * Height

Volume of cuboid = 36.576*15.24*22.86= 12742.5809664 cubic cm

This can be approximated to 12742.6 cubic cm.

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https://brainly.com/question/1578538

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