The length, breadth and height of a cuboid are in the ratio 5 : 4 : 2. If the volume of the cuboid is 5000 cm3, then what will be the total surface area of the cuboid?
1900 cm2
Volume of a cuboid = l × b × h; total surface area = 2(lb + bh + hl).
Let l = 5x, b = 4x, h = 2x.
5x × 4x × 2x = 40x3 = 5000
x3 = 125
x = 5
l = 25 cm, b = 20 cm, h = 10 cm
TSA = 2(25 × 20 + 20 × 10 + 10 × 25)
= 2(500 + 200 + 250)
= 2 × 950
= 1900 cm2
Hence, 1900 cm2.
Similar Questions
The radius of a hemisphere is 3.5 cm. What will be its volume?
The radius of a metal sphere is 9 cm. It is melted and drawn into a wire of 0.3 cm, then what is the length of the wire (in m)?
The curved surface area of a right circular cone is 1000 cm² and its radius is 10 cm. What is its volume? (in cm³)
The base of a prism is an equilateral triangle with side 5 m, and its height is 20 m. The volume of the prism is:
When Jaya divided the surface area of a sphere by the volume of the sphere, she got the answer 2/3 cm. What is the radius of the sphere?
The curved surface area of a cylinder is 1056 cm2. If the height of the cylinder is 8 cm, then what will be the diameter of its base?
If the radius of a cone decreases by 20% when its height is increased by 50%, then what will be the percentage change in its volume?
A cone and a hemisphere have equal bases and equal volumes. If the height of the cone is 12 cm, then what will be the radius of the hemisphere?
How many cubes of side 5 cm can be placed in a cubical box of side 2 m?
Shyam's room has dimensions 5 m × 3 m × 2 m. The room also has a door of dimensions 2 m × 1.5 m and a window of dimensions 1 m × 1 m. If the rate of painting is ₹1.50 per m², what will be the cost (in ₹) of painting the four walls of his room?
Important Questions from 3-D Mensuration
Find the total surface area of a closed cylinder having a base radius of 70 m and a height of 110 m. [Use π = \(22\over7\)]
- The curved surface area of a cylinder is half of its total surface area. If its height is 195 cm, then find its diameter (in cm).
The diameter of the base and slant height of a right circular cone are 30 cm and 113 cm, respectively. Find the volume (in cm³) of the given cone.
(Use $\pi = \frac{22}{7}$)- A cylindrical rod has an curved surface area of $4,900 \text{ cm}^2$. If the length of the rod is 97 cm, then the radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$ - The volume (in $m^3$) of a cube, each of whose edges is 42 m, is:
