Question

lista de exercícios - prismas - prof. marco aurélio

1. calcule a área total da superfície e o volume dos prismas abaixo

a)

(image of a cube with edge length 5 cm)

Explanation:

Identify the given dimensions

The figure shows a cube with an edge length of \(s = 5\text{ cm}\).

Calculate the base area

The base is a square.

$$ A_b = s^2 = 5^2 = 25\text{ cm}^2 $$

Calculate the total surface area

A cube has six identical square faces.

$$ A_t = 6 \cdot s^2 = 6 \cdot 25 = 150\text{ cm}^2 $$

Calculate the volume

The volume of a cube is the edge length cubed.

$$ V = s^3 = 5^3 = 125\text{ cm}^3 $$

Answer:

Total Surface Area: \(150\text{ cm}^2\)
Volume: \(125\text{ cm}^3\)