This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer: 29
Step-by-step explanation:
d = √(l2 + w2 + h2)
d = √(12^2+ 16^2+ 21^2) = 29
Answer:
part A is 120
Step-by-step explanation:
6 × 20 = 120
part B
Answer:
44 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated using the formula
C = 2πr ← where r is the radius
here r = 7, hence
C = 2 ×π × 7 = 14π ≈ 44 cm ( to nearest whole number )
Answer:
Step-by-step explanation:
Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m
Circumference of roller = 1.68π m
Contact area of roller = 1.68π × 2.8 = 4.704π m²
Each rotation levels 4.704π m² of the playground.
Area of playground = 750 rotations × (4.704π m²)/rotation
= 3528π m²
≈ 11,084 m²
