Aprism of height 12" has a rhombus with diagonals 6" and 8" for a base. find the volume. 240 cu. in. 288 cu. in. 576 cu. in.

Option 2nd is correct

volume of prism is, 288 cu. in.

Step-by-step explanation:

Volume of prism(V) is given by:

              .....[1]

where,

B is the Base area

h is the height of the prism.

Area of rhombus(A) is given by:

where,

are the diagonals of the rhombus.

As per the statement:

A prism of height 12" has a rhombus with diagonals 6" and 8" for a base.

⇒, and h = 12"

Find the base area i.,e Area of rhombus.

Simplify:

square inches.

Substitute the given values in [1] we have;

cubic inches.

Therefore, the volume of prism is, 288 cu. in.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.