Question

An architect designs a shop refit.

The architect needs to work out the weight of an oak panel.
The oak panel measures 0.06 m x 0.9 m x 1.5 m
The density of oak is 700 kg per m³

What is the weight of the oak panel in kg?

Answer 1

The weight of the oak panel is calculated using the density formula, with the given dimensions to find the volume, and the density of oak. After multiplying the volume by the density, the panel's weight is determined to be 56.7 kg.

Step-by-step explanation:

To calculate the weight of the oak panel, we'll use the formula for density (ρ) which is mass (m) divided by volume (V).

This formula can be rearranged to find mass if the density and volume are known:

m = ρ × V.


First, we need to calculate the volume of the oak panel. The volume (V) of a rectangular object is found by multiplying its length by width and height.

V = 0.06 m x 0.9 m x 1.5 m

V = 0.081 cubic meters (m³)

Next, we calculate the mass using the density of oak, which is 700 kg/m³.

m = 700 kg/m³ × 0.081 m³

m = 56.7 kg

Therefore, the weight of the oak panel is 56.7 kg.