Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

f solids period date $v=8.55 cm^3$ $v=\\frac{1×w}{3}$ 4) base length $l…

Question

f solids
period date
$v=8.55 cm^3$
$v=\frac{1×w}{3}$
4)
base length $l$ = 6 cm, base width $w$ = 6 cm, height $h$ = 10.4 cm
$v=1130.4 ft^3$
5)

Explanation:

Step1: Calculate base area

The base is a square, so area $B = l \times w = 6 \times 6 = 36$ $\text{cm}^2$

Step2: Apply pyramid volume formula

Volume formula for pyramid: $V = \frac{1}{3}Bh$. Substitute $B=36$, $h=10.4$:
$V = \frac{1}{3} \times 36 \times 10.4$

Step3: Compute final volume

First calculate $\frac{1}{3} \times 36 = 12$, then $12 \times 10.4 = 124.8$

Answer:

$124.8$ $\text{cm}^3$