Question

03 The volume of a cube is 64cm3, its lateral surface are is
16cm?
64 cm?
96 cm?
128 cm m
​

Answer 1

Answer:

64cm²

Step-by-step explanation:

4* side²

this is the formula of LSA

Answer 2

Given:

✰ The volume of a cube = 64cm³

To find:

✠ The lateral surface area of cube.

Solution:

We will use formula to calculate the lateral surface area of cube, but for it we require length of edge of a cube. To find the length of edge of a cube we will use formula to calculate volume as we are already provided with the volume of a cube. After doing required calculations we can get the lateral surface area of cube.

Let measure of each edge of a cube = a cm

✭ Volume of cube = a³ ✭

➛ 64 = a³

➛ a = ³√64

➛ a= 4

∴ The measure of length of edge of a cube = 4 cm

Now, we will calculate the lateral surface area of cube by using formula,

✭ Lateral surface area of cube = 4a² ✭

➤ Lateral surface area of cube = 4 × 4²

➤ Lateral surface area of cube = 4 × 4 × 4

➤ Lateral surface area of cube = 16 × 4

➤ Lateral surface area of cube = 64 cm²

∴ The lateral surface area of cube = 64 cm²

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