Surface area of cube is 9.342m^2.Surface area of such 8 cube will be[ taking significant figure in account]

Open in App

Solution

8 X 9.342 = 74.736 .... But answer should have 4 SD, remember that here 8 is a fixed number and it is having infinite SD in it..... so answer after rounding off = 74.74

Suggest Corrections

Similar questions

Q. Each side of a cube is measured to be

5.402

cm. Find the total surface area and volume of the cube in appropriate significant figures.

Q. The total surface area of a cube is

384 m^{2}

. Its volume will be:

Q. A cube has a side of length

2.342 m

. The surface area and volume in correct significant figures are respectively:

Q. The volume of cube A is equal to the surface area of cube B. If both have integral side lengths, the minimum surface area (in square units) of cube B will be:

Q. Question:

Question 8
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

Mathematics Surface Areas and Volumes Volume of Solids
Close

Solution:

Side(a) of the cube = 12 cm

Volume of the cube =(a)3=(12 cm)3=1728 cm3

Let the side of the smaller cube be a1.

Volume of 1 smaller cube =(17288)cm3=216 cm3(a1)3=216 cm3⇒a1=6 cm

Therefore, the side of the smaller cubes will be 6 cm.

Ratio between surface areas of cubes =Surface area of bigger cubeSurface area of Smaller cube=6×1226×62=(12)2(6)2=41

Therefore, the ratio between the surface areas of these cubes is 4:1.

my doubt is how this a1 got 6cm

Join BYJU'S Learning Program