[2 Mark Question Answer]

Question 12 Marks

A solid cuboid of metal has dimensions $24 \ cm, 18 \ cm$, and $4 \ cm$. Find its volume.

Answer

Length of the cuboid $= 24 \ cm$
Breadth of the cuboid $= 18 \ cm$
Height of the cuboid $= 4 \ cm$
Volume of the cuboid $= l \times b \times h = 24 \times 18 \times 4 = 1728 \ cm^3$

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Question 22 Marks

Find the volume and the total surface area of a cuboid, whose : $ l = 3.5 m, b = 2.6 m$ and $h = 90 cm$

Answer

$ \text { Length }=3.5 m \text { Breadth }=2.6 m \text {, Height }=90 \ cm$
$=\frac{90}{100} m =0.9 m .$
$ \text { Volume of a cuboid }= I \times b \times h $
$=3.5 \times 2.6 \times 0.9=8.19 m ^3$
$ \text { Total surface area of a cuboid }=2(I \ l b + b \times h + h \times I )$
$ =2(3.5 \times 2.6+2.6 \times 0.9+0.9 \times 3.5)$
$=2(910+2.34+3.15)=2(14.59)$
$=29.18 m ^2$

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Question 32 Marks

Find the volume and the total surface area of a cuboid, whose : length $= 15 \ cm$, breadth $= 10 \ cm$ and height $= 8 \ cm.$

Answer

Length $=15 \ cm$, Breadth $=10 \ cm$, Height $=8 \ cm$.
Volume of a cuboid $=$ Length $\times$ Breadth $\times$ Height $=15 \times 10 \times 8=1200 \ cm^3$.
Total surface area of a cuboid $2( 1 \times b+b \times h+h \times 1)$
$=2(15 \times 10+10 \times 8+8 \times15)$
$=2(150+80+120)=2 \times 350=700 \ cm^2$

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