Answer:
264 yd³
Step-by-step explanation:
The volume of a triangular pyramid can be found using the formula ...
V = 1/2LWH
where H is the height of the triangular base.
V = 1/2(8 yd)(11 yd)(6 yd)
V = 264 yd³ . . . . volume of the prism
Try this solution (see the attachment).
The one that says the combined area of the 4 triangles......
Answer:
width is 4 inches
length is 6 inches
Step-by-step explanation:
the length is 6 inches less than three times the width
l = 3w - 6
a = l * w
a = (3w - 6)w
a = 3w^2 - 6w
area of the rectangle is 24 square inches
3w^2 - 6w = 24
subtract 24 from both sides
3w^2 - 6w - 24 = 0
Divide both sides by 3
w^2 - 2w - 8 = 0
Factor
(w - 4)(w + 2) = 0
w = {-2, 4}
disregard the negative root since measurement must be positive
w = 4
l = 3w - 6
l = 3(4) - 6
l = 6