Question

the volume of a cube is 64 cm. Its lateral surface area is
find LSA of cube​

Answer 1

Answer:

Area = 64cm^3 = (side)^3

side = cube root 64 = 4

LSA = 4(a)^2 = 4(4)^2

= 4×16

= 64cm^2

Answer 2

A cube is solid which has six square faces at right angles to each other.

$\text{Volume of a cube = } \text {Length}^3$

$\text {Lateral Surface Area of a cube} = \text {Perimeter } \times \text{height}$

$\text {Perimter of a square} = 4 \times \text{Length}$

Find the length of side of the cube:

$\text{Volume = } 64 \text{ cm}^3$

$\text{Length}^3 = 64$

$\text{Length} = \sqrt[3]{64}$

$\text{Length} = 4 \text { cm}$

Find the lateral surface area:

$\text {Lateral Surface Area} = \text {Perimeter } \times \text{height}$

$\text {Lateral Surface Area} = 4 (\text {Length}) \times \text{height}$

$\text {Lateral Surface Area} = 4 (\text {4}) \times \text{4}$

$\text {Lateral Surface Area} = 64 \text { cm}^2$

Answer: The LSA of the cube is 64 cm²