Question

Find the volume of the given prism.

Ans:60cm^3​

Answer 1

60 cm³

Explanation:

To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.

⇒ Volume of prism = Area of triangle × Height of prism

Find the area of the triangle

⇒ Volume of prism = (Area of triangle) × Height

⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism

⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism

⇒ Volume of prism = (3 × 2) × Height of prism

⇒ Volume of prism = 6 × Height of prism

Substitute the height in the volume

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

Solve for the volume.

⇒ Volume of prism = 6 × 10

⇒ Volume of prism = 60 cm³

Answer 2

60 cm³

volume of triangular prism : area of base * Length

Given:

• side of triangle : 4 cm

• side of triangle : 3 cm

• angle between 4 cm and 3 cm : 90°

• Length : 10 cm

Find area of base:

`\rightarrow \sf (1)/(2) * side \ 1 \ * side \ 2 \ * \ sin (\theta)`

`\rightarrow \sf (1)/(2) *\ 4 \ * \ 3 \ * \ sin (90)`

`\rightarrow \sf 6 \ cm^2`

Volume :

• A * L

• 6 * 10

• 60 cm³