Answer:
(a)24 square inches
(b)280 Square Inches.
(c)192 cubic inches
Step-by-step explanation:
(a)Given the diagonals of a rhombus:
Area=½ X Product of the diagonals
Therefore:
Area=½ X 6 X 8
Base Area=24 square inches
(b)Lateral Area
Lateral Area of a Prism=Base Perimeter X Height
Applying Pythagorean Triples(3,4,5) in the attached triangle
Side Length=5 inches
Base Perimeter=4*5=20 Inches
Lateral Area =20*14=280 Square Inches.
(c)Volume
Volume of a Prism=Base Area X Height
=24*8
Volume=192 cubic inches
