1. **State the problem:** We need to find the volume of solids formed by multiplying length ($l$), breadth ($b$), and height ($h$) for each given shape.
2. **Formula:** Volume $= l \times b \times h$
3. **Given:** For each shape, we have dimensions labeled as algebraic expressions. We assume height $h=1$ unless otherwise specified, since only two dimensions are given for some shapes.
4. **Calculate volumes:**
**a)** Rectangle with width $a=x$, length $b=7$, height $h=1$:
$$V_a = x \times 7 \times 1 = 7x$$
**b)** Square with sides $a=x$, so length $l=x$, breadth $b=x$, height $h=1$:
$$V_b = x \times x \times 1 = x^2$$
**c)** Rectangle with width $3$, length $x$, height $1$:
$$V_c = 3 \times x \times 1 = 3x$$
**d)** Rectangle with width $5x + 3$, length $1$, height $1$:
$$V_d = (5x + 3) \times 1 \times 1 = 5x + 3$$
**e)** Rectangle with width $x + 7$, length $1$, height $1$:
$$V_e = (x + 7) \times 1 \times 1 = x + 7$$
5. **Summary:**
- Volume a) $7x$
- Volume b) $x^2$
- Volume c) $3x$
- Volume d) $5x + 3$
- Volume e) $x + 7$
Each volume is expressed as an algebraic expression in terms of $x$.
Volume Expressions 96F888
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