Advertisements
Advertisements
Question
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
Advertisements
Solution
Given that:
Diagonal of a cube = `sqrt(48)"cm"`
i.e., `sqrt(3) xx "l" = sqrt(48)` ...[∵ Diagonal of cube = `sqrt(3) xx "l"]`
l = `sqrt(48)/sqrt(3)`
l = `sqrt(48/3)`
= `sqrt(16)`
= 4cm
∴ Side (l) = 4cm
Now,
Volume of cube
= l3
= l x l x l
= 4 x 4 x 4
= 16 x 4
= 64cm3
∴ Volume of Cube = 64cm3.
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 1.2 m .
What will happen to the volume of a cube, if its edge is trebled?
Fill in the blank in the following so as to make the statement true:
1 litre = ........ cu. cm
Find the volume of a cube whose surface area is 150 m2 .
Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
The length of the diagonals of a cube is 8√3 cm.
Find its:
(i) edge
(ii) total surface area
(iii) Volume
The total surface area of a cube is 294cm2. Find its volume.
A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?
