(e) the height of one square pyramid is 12 m. a similar pyramid has a height of 6 m. the volume of the larger pyramid is 400 m3. determine each of the following, showing all your work and reasoning. (a) scale factor of the smaller pyramid to the larger pyramid in simplest form (f) ratio of the areas of the bases of the smaller pyramid to the larger pyramid (g) ratio of the volume of the smaller pyramid to the larger (h) volume of the smaller pyramid

Step-by-step explanation:

Height (h₁) of one square pyramid = 12 m

A similar pyramid has a height h₂ = 6 m

(a)  Therefore scale factor of smaller pyramid to the larger pyramid = = =  1 : 2

(f)   Since ratio of the sides of smaller to larger pyramid is 1 : 2

so ratio of area of the bases = =

=

(g)  Ratio of volume of smaller to larger pyramid

= =

(h)  Since = and V₁ = 400 m³

So   =  ⇒ =

V₂ = = 50 m³

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.