A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct? Option 1: Only cube can be painted. Option 2: Only cuboid can be painted. Option 3: Both cube and cuboid can be painted. Option 4: Neither cube nor cuboid can be painted.

Answer: Both cube and cuboid can be painted. Solution: Paint covers surface area, so find the surface area of each solid., Solid, Surface area formula, Value, Cube (edge 2 cm), 6a^2, 6x2^2=24 cm^2, Cuboid (1x2x3), 2(lb+bh+hl), 2(2+6+3)=22 cm^2, Paint needed=24+22=46 cm^2 The container covers 54 cm^2, and 46<54. So there is enough paint for both, and both the cube and the cuboid can be painted.

Geometry

Solids

Easy

A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?

Only cube can be painted.

Only cuboid can be painted.

Both cube and cuboid can be painted.

Neither cube nor cuboid can be painted.

✅ Correct Option: 3

Paint covers surface area, so find the surface area of each solid.

Solid	Surface area formula	Value
Cube (edge 2 cm)	$6a^2$	$6\times2^2=24\text{ cm}^2$
Cuboid ( $1\times2\times3$ )	$2(lb+bh+hl)$	$2(2+6+3)=22\text{ cm}^2$

$\text{Paint needed}=24+22=46\text{ cm}^2$

The container covers $54\text{ cm}^2$ , and $46<54$ .

So there is enough paint for both, and both the cube and the cuboid can be painted.

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A cube has each edge 2 cm and cuboid is 1 cm long, 2 cm wide and 3 cm high. The paint in a certain container is sufficient to paint area equal to 54 cm². Which of the following is correct?

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