Question

If the volume of a cuboid is 60 cu.m, length, and breadth are 5m,4m respectively then the height of the cuboid will be


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Answer 1

Answer:

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Answer 2

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{Question : }}}}}}$

• If the volume of a cuboid is 60 m³ , length, and breadth are 5m,4m respectively then the height of the cuboid will be

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{Given : }}}}}}$

• Volume of the cubiod is 60m³
• Length of the cubiod is 5m
• Breadth of the cubiod is 4m

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{To \: Find : }}}}}}$

• The hieght of the cubiod with length 60m³, Length 5m, Breadth 4m

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{Answer : }}}}}}$

• 3m is the hieght of the cubiod with Length 5m, Breadth 4m and volume 60m³

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{Solution : }}}}}}$

~Here we have been given the volume of the cubiod, Length of the cubiod, breadth of the cubiod , So we have to use the formula to find the volume of the cubiod and then transpose the terms to find its hieght.

As we know that :

$\star \: { \underline{ \boxed{ \tt{volume \: of \: a \: cuboid \: = l \times b \times h}}}}$

Where ,

• L stands for length
• B stands for breadth
• H stands for hieght

Substitute the given values :

$\longrightarrow \sf \: volume \: of \: the \: cuboid = l\times b \times h \\ \\ \\ \longrightarrow \sf {60m}^{3} = 5m \times 4m \times h \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf {60m}^{3} = {20m}^{2} \times h \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf h = \cancel \frac{60 {m}^{3} }{20 {m}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow { \boxed{\tt{ h = 3m}} \bigstar}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Hence, the hieght of the cube is 3m

${ \underline{ \underline{ \maltese{ \textsf{ \textbf{Extra \:lnfo : }}}}}}$

• Volume of a cube = side³
• Volume of a cylinder = πr²
• Total surface area of a cubiod = 2(hl+lb+bh)
• Total surface area of a cube = 4(side)²
• Curved surface area of the cylinder = 2πrh
• Total surface area of a cylinder 2πrh + 2πr²

hope this helps!