If the edge of a cube is 15 cm, then the volume of a cube is : Option 1: 3475 cm^3 Option 2: 3175 cm^3 Option 3: 3375 cm^3 Option 4: 3235 cm^3

Answer: 3375 cm^3. Solution: Volume of a cube = edge^3 = 15^3 = 15 x 15 x 15 = 3375 cm^3, which matches option 3.

Geometry

Solids

Easy

If the edge of a cube is 15 cm, then the volume of a cube is :

$3475 \text{ cm}^3$

$3175 \text{ cm}^3$

$3375 \text{ cm}^3$

$3235 \text{ cm}^3$

✅ Correct Option: 3

Volume of a cube = $\text{edge}^3 = 15^3 = 15 \times 15 \times 15 = 3375$ cm $^3$ , which matches option 3.

2026: 21 May Shift 1

Consider the surface areas of the following solids:

(A) A cuboid of 10 cm long, 7 cm broad, and 5 cm high.

(B) A cylinder of radius 3.5 cm and height 60 cm.

(D) A sphere of radius 12 cm.

Arrange the above in decreasing order.

2026: 30 May Shift 1

A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many peoples may be served from it in hemispherical glasses 4 cm in diameter at the top?

2026: 31 May Shift 2

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. The surface area of new cube is:

2026: 20 May Shift 2

A right circular cylinder has radius 7 cm and height 10 cm. Another cylinder has twice the height and half the radius. The ratio of their volumes (first : second) is:

2023: 5 June Shift 2

A solid metallic sphere of radius 8 cm is melted and recasted as a cone of height 8 cm. Find the base radius of the cone (in cm).

2026: 14 May Shift 1

If r represent the radius and h denotes the height of the solid. Then, Match List-I with List-II

LIST-I (Solid)	LIST-II (Volume)
A. Cylinder	I. $\dfrac{2}{3}\pi r^3$
B. Cone	II. $\dfrac{4}{3}\pi r^3$
C. Sphere	III. $\dfrac{1}{3}\pi r^2 h$
D. Hemisphere	IV. $\pi r^2 h$

Choose the correct answer from the options given below:

If the edge of a cube is 15 cm, then the volume of a cube is :

Solution

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