If the diagonal of a cube is 8√3 cm then the volume of cube is : Option 1: 112 cm³ Option 2: 216 cm³ Option 3: 496 cm³ Option 4: 512 cm³

Answer: 512 cm³. Solution: Body diagonal of a cube = a3. So a3 = 83 gives a=8 cm, and volume = 8^3 = 512 cm³.

Geometry

Solids

Easy

If the diagonal of a cube is $8\sqrt{3}$ cm then the volume of cube is :

112 cm³

216 cm³

496 cm³

512 cm³

✅ Correct Option: 4

Body diagonal of a cube $= a\sqrt3$ . So $a\sqrt3 = 8\sqrt3$ gives $a=8$ cm, and volume $= 8^3 = 512$ cm³.

2026: 12 May Shift 1

The base radius and height of a right circular cylinder is in the ratio of 1:7. If the volume is 176 cm $^3$ , the total surface area of the right circular cylinder is:

2025: 13 May Shift 1

The base diameter of a cylinder is 21 cm and the height is 28 cm, then:

(A) Radius of cylinder = 10.5 cm

(B) Volume = 12936 cm³

(D) Total surface area = 2541 cm²

Which of the following is/ are correct?

Choose the correct answer from the options given below:

2026: 18 May Shift 1

Consider the surface areas of the following solids.

(A) A cuboid of 12 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 12.5 cm.

Arrange the above in decreasing order.

2025: 20 May Shift 1

The base radius of a cone is 21 cm and the height is 28cm, then which of the following is/are correct?

(A) Slant height = 35 cm

(B) Slant height = 33 cm

(D) Curved Surface Area = 2310 cm²

Choose the correct answer from the options given below:

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:

2025: 15 May Shift 1

Match List-I with List-II

List-I	List-II
(Figures, etc.)	(Area/Volume/Diagonal etc.)
(A) Surface area of Cube	(I) $\pi(R^2 - r^2)$
(B) Volume of Right pyramid	(II) $a\sqrt{2}$
(C) Area of Circular Ring	(III) $6a^2$
(D) Diagonal of Square	(IV) $\frac{1}{3}$ (area of base) × height

Choose the correct answer from the options given below:

If the diagonal of a cube is 838\sqrt{3}83​ cm then the volume of cube is :

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

If the diagonal of a cube is $8\sqrt{3}$ cm then the volume of cube is :