Question

The base of a prism is a right angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is ?​

Answer 1

Explanation:

360 sq cm

360 sq cmThe base of a prism is a right angled triangle with two sides as 5 cm and 12 cm. The height of the prism is 10 cm. = 360 sq cm.

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Answer 2

Answer:

Total surface area of the prism is 360 cm$^{2}$

Explanation:

Given:

Base of the prism is a right angled trianlge with two sides 5 cm and 12 cm.

Height of the prism is 10 cm.

To find:

Total surface area of the prism.

Solution:

Its total surface area will be the addition of lateral surface area + 2 × base area i.e. total surface area of the right angle prism = lateral surface area + 2 × base area.

Now as we know that ita lateral surface area will l( ${S_1}$ + ${S_2}$ + ${S_3}$ )

and base area will be 1/2 × b × h

So total surface area of the prism = l × ( ${S_1}$ + ${S_2}$ + ${S_3}$ ) + 2 (1/2 × b × h)

Now by substituting the values, we get

T.S.A of right angle prism

= 10 × (5 + 12 + 3) + 2 × 1/2 × 5 × 12

= 300 + 60

= 360 cm$^{2}$