Find the volume of each rectangular box with given length, breadt… - Vidyadip

Question

Find the volume of each rectangular box with given length, breadth and height.

	Length	Breadth	Height
$1$	$2ax$	$3by$	$5cz$
$2$	$m^2n$	$n^2p$	$p^2m$
$3$	$2q$	$4q^2$	$8q^3$

✓

Answer

As we know that Volume of a cuboid = length \times breadth \times height
Hence, volume of first rectangular $box = (2ax) \times (3by) \times (5cz)$
$= 2 \times 3 \times 5 \times (ax) \times (by) \times (cz) = 30abcxyz$
Volume of $2^{nd}$ rectangular box = $m^{2} n \times n^{2} p \times p^{2} m$
$=\left(m^{2} \times m\right) \times\left(n \times n^{2}\right) \times\left(p \times p^{2}\right)=m^{3} n^{3} p^{3}$
Volume of $3^{rd}$ rectangular box= $2 q \times 4 q^{2} \times 8 q^{3}$
$=2 \times 4 \times 8 \times q \times q^{2} \times q^{3}=64 q^{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Find the cost of painting $15$ cylindrical pillars of a building at $Rs.\ 2.50$ per square metre if the diameter and height of each pillar are $48\ cm$ and $7$ metres respectively.

Divide $x^4-2 x^3+2 x^2+2 x^2+x+4$ by $x^2+x+1$.

Can a polyhedron have $10$ faces, $20$ edges and $15$ vertices$?$

The circumference of the base of a cylinder is $88\ cm$ and its height is $60\ cm$. Find the volume of the cylinder and its curved surface area.

Add and express the sum as a mixed fraction: $\frac{-12}{5}$ and $\frac{43}{10}$

Find a positive value of $x$ for which the given equation is satisfied. $\frac{\text{y}^2+4}{3\text{y}^2+7}=\frac{1}{2}$

After allowing a discount of $10\%$ on the marked price, a trader still makes a gain of $17\%.$ By what percent is the marked price above the cost price$?$

Find the product:
$4.1xy(1.1x - y) $

Find the value of x, so that:
$\left(2^{-1}+4^{-1}+6^{-1}+8^{-1}\right)^x=1$

Solve:
$a^2-2 a b+b^2-c^2$