Question

The base of prism is triangular in shape with sides 3cm , 4cm. and 5cm. find the volume of the prism if its height is 10cm​

Answer 1

Answer:

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Answer 2

GivEn:

• Sides of triangular prism are 3cm , 4cm. and 5cm.
• Height of the triangular prism is 10cm.

To find:

• The volume of the prism if its height is 10cm?

Solution:

☯ Lets consider height of the triangular prism be h.

★ According to the Question:

☯ Volume of triangle = 1/2bh

➯ 1/2(3 + 4 + 5) × 10

➯ 1/2(12) × 10

➯ 6 × 10

➯ 60cm³

Thus, Volume of the triangular prism is 60cm³

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Now, Let's verify this,

We know that,

★ Volume of triangle = 1/2bh

➯ 1/2(3 + 4 + 5) × 10 = 60

➯ 6 × 10 = 60

➯ 60 = 60

LHS = RHS

∴ Hence, Verified!

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More to know:

• Area of triangle = ½ × base × height

• Heron's Formula = √s(s - a)(s - b)(s - c)

• Sum of all angles of a triangle is 180°.