Question

A cuboid wooden box measures externally 10 cm long , 8 cm broad and 6 cm high. Thickness of wood is 0.5 cm .find the volume of wood used

Answer 1

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Answer 2

Answer:

The volume of wood used in the cuboid wooden box is 88.125cm³.

Explanation:

The external dimensions of the cuboid box:

Length (l₁)=10cm

Breadth(b₁)=8cm

Height(h₁)=6cm

Since, the thickness of the wood is 0.5cm,

The internal dimensions of the cuboid box are:

Length (l₂)=10-0.5=9.5cm

Breadth(b₂)=8-0.5=7.5cm

Height(h₂)=6-0.5=5.5cm

The volume of a cuboid is given by the formula $l*b*h$

• The external volume of the given box(V₁) = l₁*b₁*h₁ = 10*8*6 = 480cm³
• The internal volume of the given box(V₂) = l₂*b₂*h₂ = 9.5*7.5*5.5 = 391.875cm³

The volume of wood used can be given by subtracting the internal volume from the external volume,

∴ The volume of wood used(V)= V₁-V₂= 480-391.875=88.125cm³

Thus, the volume of wood used in the cuboid wooden box is 88.125cm³.