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vesna_86 [32]
2 years ago
14

Find the volume of the given prism.Ans:60cm^3​

Mathematics
2 answers:
Yuki888 [10]2 years ago
7 0

Answer:

60 cm³

Step-by-step 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

<u>Find the area of the triangle</u>

⇒ 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

<u>Substitute the height in the volume</u>

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

<u>Solve for the volume.</u>

⇒ Volume of prism = 6 × 10

⇒ Volume of prism = 60 cm³

taurus [48]2 years ago
6 0

Answer:

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 \dfrac{1}{2} * side \ 1 \ * side \ 2  \ *   \ sin (\theta)

\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3  \ *   \ sin (90)

\rightarrow \sf 6 \ cm^2

Volume :

  • A * L
  • 6 * 10
  • 60 cm³
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