Answer:
Step-by-step explanation:
V of a cube is s^3
V = 512
s = cube root of (V)
s = cube root of 512 cm^3
s = 8
The area of one face of the cube is s^2
s = 8
Area 1 face = 8^2
Area of 1 face = 64 cm^2
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Answer:
- Question 1a. i)
- Question 1a. ii)
- Question 1b)
Explanation:
<u><em>Question 1 a. i) Find the value of x.</em></u>
For the smalll triangle you can write:
For tthe big triangle:
Substitute:
Solve for x:
<u><em>Question 1a ii) Find the volume of the frustrum</em></u>
- Find the volume of a cone with height = 2.7m + 1.8m = 4.5m, and radius = 2.5m
Formula:
Substitute:
- Find the volume of a cone with heigth = 1.8m and radius = 1m
- Subtract the volume of the small cone from the volume of the big cone
<u><em>Question 1b. Calculate the volume of the bin</em></u>
<u>i) Upper frustrum</u>
This is the same frustrum from the equation of above, thus ist volume is 27.6m³.
<u>ii) Lower frustrum</u>
<u>iii) Add the volume of the two frustrums</u>
Answer:
4 inches
Step-by-step explanation:
it is given that
1/2" on the blueprint -----> 12 feet actual length
we can rearrange to say :
12 feet actual length ---> 1/2" on paper
or
1 foot actual length = (1/2)" ÷ 12 = 1/24" on paper
hence
96 feet actual length = 1/24 x 96 = 4 inches (answer)