Question

The perimeter of the base of a cube is 56 cm. Find its lateral surface area and total surface area.

Answer 1

Question ⏬

The perimeter of the base of a cube is 56 cm. Find its lateral surface area and total surface area.

Answer ⏬

Base of cube << A Square.

Perimeter of the base square << 56 cm.

4a << 56 cm.

a << 56/4

a << 14 cm.

Side of a square << 14 cm.

Lateral Surface Area of Cube <<

$4a {}^{2}$

LSA of the cube << 4 x 14 x 14

$lsa \: of \: the \: cube < < 78 \: cm {}^{2}$

TSA of the cube << 6 x 14 x 14

$tsa \: of \: the \: cube < < 1176 \: cm {}^{2}$

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Answer 2

Solution

Given :-

• Perimeter of the base of a cube = 55 cm

Find :-

• Lateral surface area & Total Surface area

Explanation

Formula

★ Perimeter of Cube = 12a

★Lateral surface area of Cube = 4a²

★Total surface area of cube = 6a²

Where,

• a = side of cube

We Know,

• Base of cube = A square

Now, calculate one by one,

==> 56 = Perimeter of square

==> 4a = 56

==> a = 56/4

==> a = 14 cm

_____________________

Now, Calculate lateral surface area

==> Lataral surface area of cube = 4a²

Keep Value of a

==> Lateral y area of cube = 4 × (14)²

==> Lateral surface area = 4 × 196

==> Lateral surface area = 784 cm²

____________________

Now, Calculate total surface area of cube

==> TSA of cube = 6a²

==> TSA = of cube = 6 × (14)²

==> TSA of cube = 6 × 196

==> TSA of cube = 1176 cm²

__________________