Question

Can someone please help on this question

Answer 1

Answer:

The volume of the regular tetrahedron is 283.5 m³

Step-by-step explanation:

The formula of the volume of the regular tetrahedron is V = $\frac{1}{3}$ A h, where

• A is the base area of it

• h is the height of it

∵ The area of the base of a regular tetrahedron is 98.9 m²

∴ A = 98.9 m²

∵ The height of it is 8.6 m

∴ h = 8.6 m

→ Substitute them in the formula of the volume above

∵ V = $\frac{1}{3}$ (98.9)(8.6)

∴ V = 283.5133333 m³

→ Round it to the nearest tenth of a cubic meters

∴ V = 283.5 m³

∴ The volume of the regular tetrahedron is 283.5 m³