Advertisements
Advertisements
प्रश्न
Find the length of the largest pole that can be placed in a room of dimensions 12 m × 4 m × 3 m.
Advertisements
उत्तर
We have ΔACF, in which ∠C = 90°, CF = 3 m and AC = `sqrt((12)^2 + (4)^2)` m
The length of the largest pole = Length of diagonal of cuboid
⇒ (AF)2 = (AC)2 + (CF)2
⇒ (AF)2 = (12)2 + (4)2 + (3)2
⇒ `AF = sqrt(144 + 16 + 9)`
= `sqrt(169)`
= 13 m
APPEARS IN
संबंधित प्रश्न
The cost of preparing the walls of a room 12 m long at the rate of Rs. 1.35 per square metre is Rs. 340.20 and the cost of matting the floor at 85 paise per square metre is Rs. 91.80. Find the height of the room.
A rectangular diesel tanker is 2 m long, 2 m wide and 40 cm deep. How many litres of diesel can it hold?
If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]
A tank open at the top is made of iron sheet 4 m wide. If the dimensions of the tank are 12 m × 8 m × 6 m, find the cost of iron sheet at Rs 17.50 per metre.
The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
The area of the floor of a room is 15 m2. If its height is 4 m, then the volume of the air contained in the room is
The floor of a rectangular hall has a perimeter 250 m. If the cost of painting the four walls at the rate of ₹ 10 per m2 is ₹ 15,000, find the height of the hall.
A metallic sheet is of the rectangular shape with dimensions 48cm x 36cm. From each one of its corners, a square of 8cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.
The surface area of a cuboid formed by joining face to face 3 cubes of side x is 3 times the surface area of a cube of side x.
