Answer:
B. 120 units³
Step-by-step explanation:
The area of the large white rectangle on the right represents the area of one of the larger surfaces of the prism. It appears to be (10 units) × (6 units), so has an area of 60 units². (You can count the squares there, if you like.)
That is adjacent to a gray area on the net that is 2 units wide, indicating that the prism is 2 units deep. Thus the volume is ...
(60 units²) × (2 units) = 120 units³
This equation uses y and x so it cannot be factorised.
Let’s try the equation y^2 - 12y + 36 = 0
Look for two factors of 36 that add to -12.
This would be -6 and -6
(y - 6)(y - 6) = 0
(y - 6) must equal 0
y = 6
Given :
A T.V. is measure by its diagonal.
To Find :
If the height of a 60 inch T.V. is 32 inches, what is the width.
Solution :
We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .
Let, width of T.V. is x.
Applying Pythagoras theorem in sides, we get :

Therefore, width of T.V. is 55.42 inches.
Answer:
Volume of the frustum = ⅓πh(4R² - r²)
Step-by-step explanation:
We are to determine the volume of the frustum.
Find attached the diagram obtained from the given information.
Let height of small cone = h
height of the large cone = H
The height of a small cone is a quarter of the height of the large cone:
h = ¼×H
H = 4h
Volume of the frustum = volume of the large cone - volume of small cone
volume of the large cone = ⅓πR²H
= ⅓πR²(4h) = 4/3 ×π×R²h
volume of small cone = ⅓πr²h
Volume of the frustum = 4/3 ×π×R²h - ⅓πr²h
Volume of the frustum = ⅓(4π×R²h - πr²h)
Volume of the frustum = ⅓πh(4R² - r²)
Answer:
27
Step-by-step explanation:
⅙ × 54 = ⅓ × x
9 = x/3
x = 27