Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
180 ft
Step-by-step explanation:
The perimeter of a geometric figure is the sum of the lengths of its sides. Opposite sides of a rectangle are of equal length, so the perimeter can be figured as twice the sum of the length of adjacent sides:
2(60 ft + 30 ft) = 180 ft
Mrs. Chen needs 180 feet of fence.
Answer:
2.64 hope this helps
Step-by-step explanation:
Answer:
-5/4
Step-by-step explanation:
the slope is the variable in front of x
y = mx + b
m = slope
b = y-int
