Three metallic solid cubes whose edges are 3cm, 4cm and 5cm are m… - Vidyadip

Question

Three metallic solid cubes whose edges are $3cm, 4cm$ and 5cm are melted and formed into a single cube. Find the edge of the cube so formed.

✓

Answer

Given, edges of three solid cubes are $3 cm, 4 cm$ and 5 cm , respectively.
$\therefore$ Volume of first cude $=(3)^3=27 cm^3$
Volume of second cube $=(4)^3 64 cm^3$
and volume of third cude $=(5)^3=125 cm^3$
$\therefore$ Sum of volume of three cubes $=(27+64+125)=216 cm^3$
Let the edge of the resulting cude $= Rcm$
Then, volume of the resulting cube, $R ^3=216$
$\Rightarrow R=6 cm$

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 Surface Areas and Volumes→Surface Areas and Volumes — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

If mean of the following distribution is 7.5, then find the value of P.

x	3	5	7	9	11	13
f	6	8	15	P	8	4

Solve the following systems of equations:
$\frac{2}{\text{x}}+\frac{3}{\text{y}}=13,$
$\frac{5}{\text{x}}-\frac{4}{\text{y}}=-2.$

In the following, determine whether the given quadratic equation have real root and if so, find the root:
$2\text{x}^2-2\sqrt{2}\text{x}+1=0$

The product of two consecutive positive integers is $306$. Form the quadratic equation to find the integers, if x denotes the smaller integer.

From the top of a $7 \ m$ high building, the angle of elevation of the top of a cable tower is $60^o$ and the angle of depression of its foot is $45^o$. Determine the height of the tower.

Prove that $\sqrt{2}$ is an irrational number.

Prove the following trigonometric identities.
$\cot\theta-\tan\theta=\frac{2\cos^2\theta-1}{\sin\theta\cos\theta}$

In which of the following situations, the sequence of numbers formed will form an A.P.?
Divya deposited Rs. $1000 $at compound interest at the rate of $10 \%$ per annum. The amount at the end of first year, second year, third year, ......... and so on.

Find the median of the following data:

Marks	20-30	30-40	40-50	50-60	60-70	70-80	80-90
Number of Students	5	15	25	20	7	8	10

A fraction becomes $\frac{1}{3}$ if 1 is subtracted from both its numerator and denominator. It 1 is added to both the numerator and denominator, it becomes $\frac{1}{2}.$ Find the fraction.