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Cuboid and Cylinder Quiz - CBSE Class 7 Mathematics

Free practice quiz: Cuboid and Cylinder (CBSE Class 7 Mathematics). 17 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 7 Mathematics practice quiz has 17 multiple-choice questions on Cuboid and Cylinder, and 17 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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Volume of a Cuboid

Volume is the space inside a solid. It is measured in cubic units like cm³.
For a cuboid, multiply length, breadth and height together.
A cube is a cuboid with all sides equal to a.

Volume of cuboid

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

Volume of cube

\[V = a^3\]

Common mistake: Adding the three dimensions instead of multiplying them, or writing the answer in cm² instead of cm³.

Surface Area of a Cuboid

Surface area is the total area of all faces. It is measured in square units like cm².
A cuboid has six rectangular faces. Opposite faces are equal, so there are three pairs.
Add the areas of the three different faces, then double the sum.

Total surface area of cuboid

\[S = 2(lb + bh + hl)\]

Total surface area of cube

\[S = 6a^2\]

Common mistake: Forgetting to multiply by 2, which counts only three faces instead of all six.

Volume of a Cylinder

A cylinder has two equal circular ends and a curved side.
Its volume is the area of the circular base multiplied by the height.
If the diameter d is given, first find the radius by halving it.

Volume of cylinder

\[V = \pi r^2 h\]

Radius from diameter

\[r = \frac{d}{2}\]

Common mistake: Using the diameter in place of the radius, or squaring the height instead of the radius.

Surface Area of a Cylinder

The curved surface, when unrolled, is a rectangle. Its length is the circumference and its width is the height.
Total surface area is the curved surface plus the two circular ends.

Curved surface area

\[\text{CSA} = 2\pi r h\]

Area of both circular ends

\[2\pi r^2\]

Total surface area

\[\text{TSA} = 2\pi r h + 2\pi r^2 = 2\pi r(r + h)\]

Common mistake: Giving only the curved surface area when the question asks for the total surface area of a closed cylinder.

How Changes Affect Volume

In a cuboid, multiplying one dimension by k multiplies the volume by k.
Multiplying two dimensions by k and m multiplies the volume by km.
In a cylinder, multiplying the radius by k multiplies the volume by k², because the radius is squared.

Cuboid, one side scaled

\[(kl) \times b \times h = k(lbh)\]

Cylinder, radius scaled

\[\pi (kr)^2 h = k^2(\pi r^2 h)\]

Common mistake: Thinking that multiplying a cylinder's radius by k multiplies its volume by k. The radius is squared, so the volume is multiplied by k².

Exam tips

Write cm³ for volume and cm² for surface area.
Check whether a cylinder question gives the radius or the diameter before you start.
Use the value of π stated in the question, and simplify before multiplying.

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

What is the volume of a cuboid with dimensions 5 cm, 3 cm, and 2 cm?
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Answer: A. 30 cm³
The volume of a cuboid is calculated as length × width × height. Therefore, 5 cm × 3 cm × 2 cm = 30 cm³.
If a cylinder has a diameter of 10 cm and a height of 3 cm, what is its volume?
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Answer: A. 235.5 cm³
Diameter is 10 cm, so radius is 5 cm. Volume = πr²h = 3.14 × 5² × 3 = 235.5 cm³.
Find the volume of a cylinder with radius 6 cm and height 10 cm.
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Answer: B. 1131.6 cm³
Volume = πr²h = 3.14 × 6² × 10 = 1131.6 cm³.
Find the volume of a cuboid with l = 10 cm, b = 5 cm, h = 4 cm.
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Answer: A. 200 cm³
Volume of a cuboid is length × width × height. Therefore, 10 cm × 5 cm × 4 cm = 200 cm³.
What is the surface area of a cuboid with dimensions 7 cm, 4 cm, and 10 cm?
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Answer: A. 376 cm²
Surface Area = 2(lw + lh + wh) = 2(7×4 + 4×10 + 7×10) = 376 cm².