Question
The volume of a cube is $729 \ cm^3.$ Find its total surface area.
✓
Answer
Let a be the one edge of a cube.
Volume $= a^3$
$729 = a^3$
$9^3 = a^3$
$9 = a$
$a = 9 \ cm$
Total surface area $= 6a^2 = 6 \times 9^2 = 486 \ cm^2$
Volume $= a^3$
$729 = a^3$
$9^3 = a^3$
$9 = a$
$a = 9 \ cm$
Total surface area $= 6a^2 = 6 \times 9^2 = 486 \ cm^2$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $a+\frac{1}{a}=6;$find $a^2-\frac{1}{a^2}$
→Convert each of the to logarithmic form :
$10^{-2}=0.01$
→$10^{-2}=0.01$
Calculate the amount and the compound interest on ₹ 10000 for 2 years at 8% p.a., compounded annually.
Convert each of the to exponential form:
$\log _3 81=4$
→$\log _3 81=4$
Write down the values of:
$(5+\sqrt{3})^2$
→$(5+\sqrt{3})^2$
The arithmetic mean $M$ of the five numbers $a, b, c, d, e$ is equal to their sum divided by the number of quantities. Express it as a formula.
→In the given figure, ABCD is a square and $\triangle PAB$ is an equilateral triangle.
(i) Prove that $\triangle APD \cong \triangle BPC$.
(ii) Show that $\angle DPC =15^{\circ}$
→(i) Prove that $\triangle APD \cong \triangle BPC$.
(ii) Show that $\angle DPC =15^{\circ}$
Check whether the square of the following is rational or irrational$:3 \sqrt{2}$
→Find the inclination of the line whose slope is$: 0$
→Convert the following fraction into a decimal $:\frac{12}{21}$
→