Advertisements
Advertisements
Question
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.
Advertisements
Solution
(i) If the side of the cube = a cm
The length of its diagonal = a√3 cm
And,
( a√3 )2 = 1875
a = 25 cm
(ii) Total surface area of the cube = 6a2
= 6( 25 )2 = 3750 cm2.
APPEARS IN
RELATED QUESTIONS
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Find the volume of a cube whose side is 25 mm .
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 litre = ........ cu. cm
Find the surface area of a cube whose edge is 1.2 m.
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
Find the T.S.A and L.S.A of the cube whose side is 21 cm
A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
