Question

find the volume and surface area of the following cuboid. length=8cm ,breadth=7.5cm,height=12cm

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Answer 1

• Volume of cubiod is 720 cm³.
• Surface area of cuboid is 492 cm².

Step-by-step explanation:

Given:-

• Length of cuboid is 8 cm.
• Breadth of cuboid is 7.5 cm.
• Height of cuboid is 12 cm.

To find:-

• Volume of cubiod.
• Surface area of cuboid.

Solution:-

Diagram :-

$\setlength{\unitlength}{0.74 cm}\begin{picture}\thicklines\put(5.6,5.4){\sf}\put(11.1,5.4){\sf}\put(11.2,9){\sf}\put(5.3,8.6){\sf}\put(3.3,10.2){\sf}\put(3.3,7){\sf}\put(9.25,10.35){\sf}\put(9.35,7.35){\sf}\put(3.5,6.1){\sf 7.5\:cm}\put(7.7,6.3){\sf 8\:cm}\put(11.3,7.45){\sf 12\:cm}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

Now,

$\boxed{\sf \bold{Volume\: of \: cuboid = lbh}}$

Where,

• l is length, b is breadth and h is height of cubiod.

Put l, b and h in formula:

$\longrightarrow$ 8 × 7.5 × 12

$\longrightarrow \pink{\boxed{\sf \bold{720}}\star}$

Thus,

Volume of cubiod is 720 cm³.

And,

$\boxed{\sf \bold{Surface\: area\: of \: cubiod = 2(lb + bh+ lh)}}$

Put the values :

$\longrightarrow$ 2 × [(8 × 7.5) + (7.5 × 12) + (12 × 8)]

$\longrightarrow$ 2 × [60 + 90 + 96]

$\longrightarrow$ 120 + 180 + 192

$\longrightarrow \purple{\boxed{\sf \bold{492}}\star}$

Therefore,

Surface area of cubiod is 492 cm².