Answer:
Total Surface Area: A = 88 square cm
Step-by-step explanation:
Volume V = 48 cubic cm
So this cuboidal box is actually a rectangular prism.
V = L * W* H
L = length, W = breadth, H= height
With L: W : H = 3: 2: 1
L:W = 3: 2
W: H = 2: 1
L/W = 3/2, L = (3/2)*W
W/H = 2/1 , W = 2*H
L = (3/2)*(2H) = 3H
So : V = L * W * H = (3H) * (2H) * H = 6 * H^3
48 = 6 * H^3
48/6 = 8 = H^3
H = cube-root(8) = 2 cm
so ...
W = 2*H = 2*2 = 4 cm
L = (3/2)*W = (3/2)* 4 = 6 cm
Total Surface Area: A = 2*LW + 2*LH + 2*WH
A = 2*(6 * 4) + 2*(6 * 2) + 2*(4 * 2)
A = 2*24 + 2*12 + 2*8
A = 48 + 24 + 16
A = 48 + 40
A = 88 square cm
For a shape to be perpendicular it must intersect and have right angles at 90 degrees. Trapezoids do not have this but acute and obtuse angles at their intersections. So the answer is no, the bases are not perpendicular. <span />
Answer:
The sum of the probabilities in a probability distribution is always
Step-by-step explanation:
Thank you for posting your question here. I think the question is "
<span>What is the estimated mean for the population? Explain your answer and show your work."
Below is the solution. I hope it helps.
</span>µ= (1*248 +2*567 +3*1402 +4*728 +5*419 +6*456 +7*203)/(1 +2 +3 +4 +5 +6 +7)
<span>=14752/28≈ 526.9</span>