The prism below is made of cubes which measure of a foot on one side. what is the volume?

a. 12 cubic ft.

b. 4/3 cubic ft.

c. 10/3 cubic ft.

d. 36 cubic ft.

the answer is B.  4/3 cubic ft.

Step-by-step explanation:

use the formula

V = LWH

using 1/3 for each calculation

length = 3 (1/3 ft)

width = 4 (1/3 ft)

height = 3 (1/3 ft)

then you substitute those dimension

V = (3/3 ft.) (4/3 ft.) (3/3 ft.)

V = (1 ft.) (4/3 ft.) (1 ft.)

V = 4/3 cubic ft

you can not drow on this

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.