A warehouse has the shape of a triangular-based prism. The height of the base is a right angled triangle…

Question

A warehouse has the shape of a triangular-based prism. The height of the base is a right angled triangle measuring 50cm by 40cm. The length of the warehouse is 80cm. Calculate the volume of the warehouse.

ScanSolve AI Tutor · Accepted Answer

Let's calculate the volume of the warehouse.

Identify the dimensions of the triangular base.
The base of the right-angled triangle is $30 \text{ m}$ and its height is $40 \text{ m}$ .
Calculate the area of the triangular base.
The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$ .
$\text{Area of base} = \frac{1}{2} \times 30 \text{ m} \times 40 \text{ m}$ $\text{Area of base} = \frac{1}{2} \times 1200 \text{ m}^2 = 600 \text{ m}^2$
Calculate the volume of the warehouse (prism).
The formula for the volume of a prism is $\text{Area of base} \times \text{length of prism}$ . The length of the warehouse is $80 \text{ m}$ .
$\text{Volume} = 600 \text{ m}^2 \times 80 \text{ m}$ $\text{Volume} = 48000 \text{ m}^3$
The volume of the warehouse is $\text{48000 m}^3$ .

A warehouse has the shape of a triangular-based prism. The height of the base is a right angled triangle measuring 50cm by 40cm. The length of the warehouse is 80cm. Calculate the volume of the warehouse.

Answer

Step-by-step solution

Identify the dimensions of the triangular base.

Calculate the area of the triangular base.

Calculate the volume of the warehouse (prism).

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