Advertisements
Advertisements
प्रश्न
Three solid cubes of edges 6 cm, 10 cm, and x cm are melted to form a single cube of edge 12 cm, find the value of x.
Advertisements
उत्तर
Edge of first cube = 6 cm
Volume = (6)3 = 216 cm3
Edge of second cube = 10 cm
Volume = (10)3 = 1000 cm3
Edge of third cube = x
Volume =x3
Edge of resulting cube = 12 cm
Volume = (12)3 = 1728 cm3
216 + 1000 + x3 = 1728
x3 = 1728 – 216 – 1000 = 512 = (8)3
x = 8
Edge of third cube = 8 cm
APPEARS IN
संबंधित प्रश्न
Find the side of a cube whose surface area is 600 cm2.
Find the volume of a cube whose side is 25 mm .
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 kl = ........ cu. dm = ........ cu. 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.
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
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.
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
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.
