Question

3. If the lateral surface area of cuboid whose length is 7.5cm and height is 4.5cm is 94.5cm². Find its volume.
Please tell me the ans step by step please its is urgent ​​

Answer 1

GIVEN:

• Curved surface area of the cuboid = 94.5 cm²
• Length of the cuboid = 7.5 cm
• Height of the cuboid = 4.5 cm

TO FIND:

• What is the volume of the cuboid ?

SOLUTION:

Let the breadth of the cuboid be 'b' cm

We know that the formula for finding the Curved surface area of the cuboid is:-

$\large{\boxed{\bf{\star \: AREA = 2h(l + b)\: \star}}}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow 94.5 = 2 \times 4.5(7.5 + b)}$

$\rm{\dashrightarrow 94.5 = 9(7.5 + b)}$

$\rm{\dashrightarrow \cancel\dfrac{94.5}{9} = 7.5 + b}$

$\rm{\dashrightarrow 10.5 = 7.5 + b }$

$\rm{\dashrightarrow 10.5 - 7.5 = b}$

$\bf{\dashrightarrow 3 \: cm = b}$

❝ The breadth of the cuboid is 3 cm ❞

We know that the formula for finding the Volume of the cuboid is:-

$\large{\boxed{\bf{\star \: VOLUME = L \times B \times H\: \star}}}$

According to question:-

$\rm{\dashrightarrow Volume = 7.5 \times 3 \times 4.5 }$

$\bf{\dashrightarrow \star \: Volume = 101.25 \: cm^3 \: \star }$

❝ Hence, the Volume of the cuboid is 101.25 cm³ ❞

______________________

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \orange{Question:-}}}}}}$

If the lateral surface area of cuboid whose length is 7.5cm and height is 4.5cm is 94.5cm². Find its volume.

Please tell me the ans step by step please its is urgent ..

______________________

${ \huge{ \bold{ \underline{ \underline{ \red{Answer:-}}}}}}$

✒Given :

• C.S.A of Cuboid = 94.5cm²
• Height(h) of cuboid = 4.5cm
• Length(l) of cuboid = 7.5cm

✒To Find :

• Volume of cuboid = ?

✒Formula Used :

• Area = 2h (l+b)

✒On Substituting Values :

$\dashrightarrow\sf{94.5 = 2\times{(4.5)}(7.5 + b) }$

$\dashrightarrow\sf{94.5 = 9(7.5 + b)}$

$\dashrightarrow\sf{\dfrac{94.5}{9}=7.5 + b}$

$\dashrightarrow\sf{10.5 = 7.5 + b}$

$\dashrightarrow\sf{-b = 7.5 - 10.5}$

$\dashrightarrow\sf{-b = -3}$

$\dashrightarrow\sf{{ \large{ \bold{ \bold{ \bold{ \blue{b=3}}}}}}}$

• Volume of cuboid = l × b × h

$\dashrightarrow\sf{7.5\times{3}\times{4.5}}$

$\dashrightarrow\sf{101.25{cm}^{3}}$

Therefore, the volume of cuboid is 101.25 cm³ .