Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Answer:
20 cm
Step-by-step explanation:
We are given a trapezoid, where the length of shorter base or on of the parllel line is 16 cm and the length of other parallel side is 24 cm.
Let the two parallel sides be x and y that is x = 16 cm and y = 24 cm.
A median of a trapezoid is a line segment that divides the non parallel sides of a trapezoid equally or a line segment that passes through the mid points of non-parallel sides of a trapezoid.
The length of median of a trapezoid =
=
= 20 cm.
Thus, the length of median of trapezoid is 20 cm.
<span>In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides.
Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3</span>² times larger, or 9 times larger, than the area of ABC.
Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A.