In the present era, achieving low area and low power in VLSI implementations of digital signal processing tasks relies heavily on efficient arithmetic operations. Among these operations, the multiplier plays a pivotal role, particularly in evaluating cube operands. This paper introduces a new low-resource cube calculation architecture that utilizes a proposed cube calculation algorithm based on the Yavadunam sutra. The suggested algorithm eliminates the need for the commonly used n \(\times \) n bit multiplier in state-of-the-art cube calculation architectures based on the Yavadunam sutra. The FPGA Implementation of our proposed cube architecture on the Virtex4vlx15sf363-12 board demonstrates a significant reduction in 4-input LUTs and slice usage. Compared to the state-of-the-art approach, it achieves a reduction in the utilization of 4-input LUTs by 31.51% for an 8-bit input, 37.84% for a 16-bit input, 24.99% for a 32-bit input, and 26.73% for a 64-bit input. Additionally, a reduction in slice consumption has been observed by 31.22% for an 8-bit input, 37.88% for a 16-bit input, 25% for a 32-bit input, and 26.73% for a 64-bit input. Furthermore, this paper presents the ASIC design of the proposed architecture using the UMC 90 nm-CMOS process and industry-standard EDA tools. The ASIC synthesis results demonstrate that the proposed 8-bit input cube calculation architecture occupies a core area of 0.004 \(\text {mm}^2\) and achieves a maximum clock frequency of 234 MHz.