Question

What is the area of a triangle, whose one altitude is 10cm and length of base is equal to the side of a cube having volume of 1331cm³

Answer 1

Answer:

Area of Δ = 55 cm²

Given:

Altitude of Δ = 10cm

Volume of Cube = 1331cm³

Step-by-step explanation:

► To find the side of the Cube

Volume Given = 1331cm³

• Formula for Volume of Cube → side³

According to the Question:

→ side³ = 1331

⇒ side = ∛1331 = 11

∴ side of Cube = 11cm

As mentioned in the Question:

Base of Δ = side of Cube

∴ Base of Δ = 11cm

► To find the area of triangle

Altitude = Height = 10cm

Base = 11cm

• Area of Δ → 1/2 × base × height

⇒ 1/2 × 11 × 10

⇒ 10/2 × 11

⇒ 5 × 11 = 55

∴ Area of Δ = 55cm²