pls post some questions and answers based on diagonals of cube and cuboid with Answers. MINIMUM 10 QUESTIONS. THEN I WILL MARK U AS BRAINLIEST. post ques and ans
Answers
Step-by-step explanation:
Question 1: Find the diagonal of the cube with the given side 5 cm?
Solution:
Given: side x = 5 cm
Use diagonal formula,
Diagonal of cube = 3–√x
Diagonal of cube = 3–√∗5
We know that the value of √3 is 1.734
Therefore, the diagonal of a cube = 1.734 (5)
Diagonal of cube = 8.67 cm
Question 2What is the diagonal of a cuboid when the dimensions are 9*12*20?
Solution
Sq root of 9 sq+12sq+20sq=625
So, diagonal is Sq root of 625=25
Question 3 If six cubes of 10 cm edge are joined end to end, then the surface area (in sq. cm) of the resulting solid is
A. 3600
B. 3000
C. 2600
D. 2400
Answer: C. If six cubes are joined together, then the resulting solid is a cuboid. The dimensions of the solid are as follows,
length =60cm, breadth = 10 cm and height = 10 cm. Now, the total surface area of a cuboid is given by
2 [( l × b ) + ( b× h ) + ( l× h )]
By substituting the values, we get,
= 2 [( 60× 10 ) + ( 10× 10 ) + ( 60× 10)] = 2 ( 1300) = 2600 cm²
Question 4John built a rectangular cardboard box 25 cm high with a square base and a volume of 2500 cm³. Then he realized he did not need a box that large, so he chopped off the height of the box reducing its volume to 1,000 cm³. Was the new box cubical? Also, state its’ height.
A. 20 cm
B. 10 cm
C. 30 cm
D. 40 cm
Answer: B. Volume of cuboid (V) = length × breadth × height = Base area × height.
Given, V = 2500 cm3, height = 25 cm. By substituting the values in the formula, we get
Base area = 2500/25 = 100 cm²
Given that the base is a square. This means that the length = breadth. Therefore, the length of square base = √100 = 10 cm
After chopping, new volume = 1000 = 10 ×10 x new height
Therefore, new height = 1000/ 10 × 10 = 10 cm
As all the dimensions of the solid, l, b, h measure the same, the resulting solid is a cube.
Question5Find the surface area of a cube whose edge is 5 cm?
Answer: Cube is a type of cuboid in which the length, breadth and height measure the same. The formula to calculate the total surface area of a cuboid is 2 [( l × b ) + ( l× h ) + ( b× h )]. As l=b=h=a, the total surface area of cube= 2 [( a × a ) + ( a× a ) + ( a× a )] = 2 [3a2] = 6a2. To sum up,
Total surface area of cube = 6a2
Given that a = 5 cm. Thus,
T.S.A =6(52) = 6 X 25 = 150 cm2
Q6What is the lateral surface area of a cube of edge 10cm?
Answer: We know that the lateral surface area of a cuboid is given by 2(l+b)h. As a cube is a cuboid in which l=b=h=a, lateral surface area of cube = 2(a+a)a = 4a2. In simple terms
Lateral surface area of cube = 4a2
Given that a = 10 cm. Thus,
LSA = 4(102) = 400 cm2
Hope so it is helpful.. Pls mark me as brainliest.. As the answer was not posting with ten question.. So I only write 6..