Advertisements
Advertisements
प्रश्न
A cuboid is 25cm long, 15cm board and 9cm high. Find the whole surface of a cube having its volume equal to that of the cuboid.
Advertisements
उत्तर
Given that:
Length of the cuboid = 25cm
Breadth of the cuboid = 15cm
Height of the cuboid = 9cm &
Volume of cube = volume of cuboid
We know that volume of Cuboid
= l x b x h
= 25 x 15 x 9
= 375cm3
∴ Volume of cube = 3375cm3
But we know that volume of cube = l3
i.e.,
l3 = 3375
l = `root(3)(3375)`
= 15cm
∴ Side (l) = 15cm
Now,
T.S.A of cube
= 6l2
= 6 x 15 x 15
= 1350cm2.
APPEARS IN
संबंधित प्रश्न
Find the volume in cubic decimetre of the cube whose side is 1.5 m.
Fill in the blank in the following so as to make the statement true:
The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm3. The height of the cuboid is ........ cm.
Find the surface area of a cube whose edge is 27 cm.
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.
Total surface area of a cube is 864 sq.cm. Find its volume.
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
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.
The base of a rectangular container is a square of side 12 cm. This container holds water up to 2 cm from the top. When a cube is placed in the water and is completely submerged, the water rises to the top and 224 cm3 of water overflows. Find the volume and surface area of the cube.
The lateral surface area of a cube of side 12 cm is
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
