Advertisements
Advertisements
प्रश्न
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
Advertisements
उत्तर
Side of the cube, l = 4.5 cm
∴ Surface area of all vertical faces of the cube = 4l2
= 4 × (4.5 cm)2
= 4 × 20.25 cm2
= 81 cm2
Also,
Total surface area of the cube = 6l2
= 6 × (4.5 cm)2
= 6 × 20.25 cm2
= 121.50 cm2
Thus, the surface area of all the vertical faces and total surface area of the cube is 81 cm2 and 121.50 cm2, respectively.
APPEARS IN
संबंधित प्रश्न
What will happen to the volume of a cube, if its edge is trebled?
A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
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.
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
Find the surface area of a cube whose volume is 216 dm3.
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
Total surface area of a cube is 864 sq.cm. Find its volume.
The square on the diagonal of a cube has an area of 1875 sq. cm. Calculate:
(i) The side of the cube.
(ii) The total surface area of the cube.
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
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.
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.
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.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
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?
