Advertisements
Advertisements
Question
A cuboid has total surface area of 50 m2 and lateral surface area is 30 m2. Find the area of its base.
Advertisements
Solution
\[\text { Total sufrace area of the cuboid } = 50 m^2 \]
\[\text { Its lateral surface area = }30 m^2 \]
\[\text { Now, total surface area of the cuboid = 2 }\times (\text { surface area of the base) }+ \text { (surface area of the 4 walls) }\]
\[ \Rightarrow 50 = 2 \times\text { (surface area of the base) } + (30)\]
\[ \Rightarrow 2 \times\text { (surface area of the base) }= 50 - 30 = 20\]
\[ \therefore \text { Surface area of the base } = \frac{20}{2} = 10 m^2\]
RELATED QUESTIONS
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?
Find the ratio of the total surface area and lateral surface area of a cube.
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
Find the height of a cuboid of volume 100 cm3, whose length and breadth are 5 cm and 4 cm respectively.
How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?
Find the surface area of a cuboid whose length = 10 cm, breadth = 12 cm, height = 14 cm.
Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down in to a single cube whose diagonal is 12 `sqrt(3)` cm. Find the edges of three cubes.
The length breadth and height of a cuboid are in the ratio of 3 : 3 : 4. Find its volume in m3 if its diagonal is `5sqrt(34)"cm"`.
Three equal cubes of sides 5cm each are placed to form a cuboid. Find the volume and the total surface area of the cuboid.
