The lateral surface area of a cube is 256 m² . The volume of the cube is
a. 512 m³
b. 64 m³
c. 216 m³
d. 256 m³
Solution:
Given, the lateral surface area of a cube is 256 m²
We have to find the volume of the cube.
Lateral surface area of cube = 4a²
Where, a is the length of the side of a cube
256 = 4a²
a² = 256/4
a² = 64
Taking square root,
a = 8 m
Volume of the cube = a³
= (8)³
= 512 m³
Therefore, the volume of the cube is 512 m³
✦ Try This: The lateral surface area of a cube is 144 m² . The volume of the cube is
Given, the lateral surface area of a cube is 144 m²
We have to find the volume of the cube.
Lateral surface area of cube = 4a²
Where, a is the length of the side of a cube
144 = 4a²
a² = 144/4
a² = 36
Taking square root,
a = 6 m
Volume of the cube = a³
= (6)³
= 216 m³
Therefore, the volume of the cube is 216 m³
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13
NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 7
The lateral surface area of a cube is 256 m² . The volume of the cube is a. 512 m³, b. 64 m³, c. 216 m³, d. 256 m³
Summary:
The lateral surface area of a cube is 256 m² . The volume of the cube is 512 m³
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