Hector spent $36.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was 2.15. Hector also used a coupon for
2 answers:
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Answer:
288 cm³
Step-by-step explanation:
The volume (V) of the triangular prism is
V = area of triangular base × height
area of base = × 6 × 8 = 24 cm², hence
V = 24 × 12 = 288 cm³
<h3>Answer:</h3>
- x = 5/6 in ≈ 0.83 in
- v = 125/108 in³ ≈ 1.16 in³
The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).
The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...
... v = (5/6)²×(5/3) = 125/108 . . . . in³
The corresponding decimal values of x and volume are ...
... x ≈ 0.83 in
... v ≈ 1.16 in³