Question

each side of a cube is measured to be 7.203m .find the total surface area in and volume in correct significant figure

Answer 1

Answer :

➥ Total surface area of cube = 311.3 m²

➥ Volume of cube = 373.7 m³

Given :

➤ Each side of a cube (a) = 7.203 m

To Find :

➤ Total surface area of cube = ?

➤ Volume of cube = ?

Solution :

The number of significant figures in the measured length is 4. The calculated area and the volume should therefore be rounded off to 4 significant figures.

⟾ Total surface area = 6a²

⟾ Total surface area = 6 (7.203)²

⟾ Total surface area = 6 × 7.203 × 7.203

⟾ Total surface area = 43.218 × 7.203

⟾ Total surface area = 311.29

This should be rounded off to four significant figure as 7.203 as 4 significant figures.

$\therefore$ Total surface area = 311.3 m²

Hence, the total surface area of cube is 3113 m².

Now ,

We calculate volume of the cube

⟾ Volume of the cube = a³

⟾ Volume of the cube = (7.203)³

⟾ Volume of the cube = 7.203 × 7.203 × 7.203

⟾ Volume of the cube = 51.883 × 7.203

⟾ Volume of the cube = 373.71

This should be rounded off to four significant figures has 7.203 has four significant figures.

$\therefore$ Volume = 373.7 m³

Hence, the volume of cube is 373.7 m³.