Question

1.

The external dimensions of an open wooden box arc 98 cm by 84 cm by 77 cm. If the wood is
2 cm thick all around, find: The volume of the wood used in making the box
​

Answer 1

• Given

$\red{\bigstar}$ External dimensions of an open wooden box -

• Length = 98 cm
• Breadth = 84 cm
• Height = 77 cm

• To find

• Volume if wood used in making the box

• Solution

$\red{\bigstar}$External dimensions -

• Length = 98 cm
• Breadth = 84 cm
• Height = 77 cm

• Volume of the box -

$: \implies \sf{98 \times 84 \times 77}$

$: \implies \sf{633,864 \: {cm}^{3} }$

$\red{\bigstar}$Internal dimensions -

• Length = 98 - 2 - 2 = 94 cm
• Breadth = 84 - 2 - 2 = 80 cm
• Height = 77 - 2 - 2 = 73 cm

• Internal Volume of the box -

$: \implies \sf{94 \times 80 \times 73}$

$: \implies \sf{548960 \: {cm}^{3} }$

$\red{\bigstar}$ Volume of the wood used in making the box = External Volume - Internal Volume

$: \implies \sf{633,864 - 548960 \: }$

$\red{\bigstar}$ $\large\boxed{\sf{\blue{84,904~cm^3}}}$