Advertisements
Advertisements
Question
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?
Options
27
42
54
142
Advertisements
Solution
54
Explanation:
Given, a cube of side 5 cm is painted on all its faces and is sliced into 1 cm3 cubes.
Then, from figure, it is clear, it is clear that there are 9 cubes available on face.
Since, there are six faces available.
Hence, total number of smaller cubes = 6 × 9 = 54
APPEARS IN
RELATED QUESTIONS
If each edge of a cube is doubled, how many times will its volume increase?
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of the side 45 cm. How many cubes are formed?
Fill in the blank in the following so as to make the statement true:
1 cu.dm = ........ cu. mm
Fill in the blank in the following so as to make the statement true:
1 cu. km = ........ cu. m
Three cubes, whose edges are x cm, 8 cm, and 10 cm respectively, are melted and recast into a single cube of edge 12 cm. Find 'x'.
The total surface area of a cube is 864 cm2. Find its volume.
Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.
Find the T.S.A and L.S.A of the cube whose side is 21 cm
A cubical container of side 6.5 m is to be painted on the entire outer surface. Find the area to be painted and the total cost of painting it at the rate of ₹ 24 per m2
