Surface Areas and Volumes Test

Result

Surface Areas and Volumes Test - 11

Score
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Weekly Quiz Competition

Question 1
1 / -0

Use the following information to answer the next question.

The external dimensions of a rectangular closed metal box are 50 cm, 35 cm, and 20 cm. The thickness of the box is 2 cm.

What is the volume of the metal used in the box?

A
12184 cm³

B
14180 cm³

C
22816 cm³

D
26412 cm³

Solution

The external length, breadth, and height of the box are 50 cm, 35 cm, and 20 cm respectively.

It is given that the thickness of the box is 2 cm.

Therefore, the internal length, breadth, and height of the box are (50 − 4) cm = 46 cm, (35 − 4) cm = 31 cm, and (20 − 4) cm = 16 cm

It is known that the volume of a cuboid is given by: Length × Breadth × Height

∴ External volume of the box = 50 cm × 35 cm × 20 cm = 35000 cm³

Internal volume of the box = 46 cm × 31 cm × 16 cm = 22816 cm³

∴Volume of the metal used = External volume − Internal volume

= 35000 cm³−22816 cm³

= 12184 cm³

Thus, the volume of the metal used is 12184 cm³.

The correct answer is A.